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Recent questions tagged laws-of-motion

two blocks m and M tied together with an inextensible string are at rest on rough horizontal surface with coefficient of friction " k ". the block m i pulled with a variable force F with a variable angle 'x' with the horizontal .the value of 'x' for which the least value of F is required to move the blocks given by

asked Nov 27, 2014 by harsha.wardan7

1 answer

A body is moving down a long inclined plane of angle of inclination $\theta$ . The coefficient of friction between the body and the plane varies as $\mu =0.5 \;x$ Where x is the distance moved down the plane . The body will have the maximum velocity when it has travelled a distance x given by

asked Aug 29, 2014 by meena.p

1 answer

A body is sliding down a rough inclined plane of angle of inclination $\theta$ for which the coefficient of friction varies with distance x as $\mu (x)=kx$, where k is a constant . Here x is the distance moved by the body down the plane . The net force on the body will be zero at a distance $x_0$ given by :

asked Aug 29, 2014 by meena.p

1 answer

Two blocks of masses $m_1=5 \;kg$ and $m_2= 6\;kg$ are connected by a light string passing over a light friction less pulley as shown in fig. The mass $m_1$ is at rest on the inclined plane and mass $m_2$ hangs vertically . If the angle of incline $\theta =30^{\circ}$, What is the magnitude and direction of the force of friction on the $5\;kg$ block . Take $g= 10 ms^{-2}$

asked Aug 29, 2014 by meena.p

1 answer

A uniform sphere of radius R and mass M is held at rest on an inclined plane of angle $\theta$ by a horizontal string , as shown in the figure. Let $R= 20 \;cm,M= 3\;kg,$ and $ \theta= 30^{\circ}$. What is the normal force exerted on the sphere by the inclined plane ?

asked Aug 28, 2014 by meena.p

1 answer

An $8.0\;kg$ box is released on a $30^{\circ}$ inclined and accelerates down the incline at $30\;m/s^2$ Find the frictional force impending its motion . How large is the coefficient of friction in this situation ?

asked Aug 28, 2014 by meena.p

1 answer

A $12-kg$ box is released from the top of an inclined that is $5.0\;m$ long and makes an angle of $40^{\circ}$ to the horizontal. A $60-N$ friction force impedes the motion of the box. How long will it take to reach the bottom of the incline ?

asked Aug 28, 2014 by meena.p

1 answer

Suppose A box has a mass of $100\; kg$, and you have to move it up a ramp. The ramp has an angle of $23^{\circ}$. What is the force needed to get the box moving up the ramp if the coefficient of static friction is $0.20$?

asked Aug 28, 2014 by meena.p

1 answer

A right triangular wedge of mass M and inclination angle $\theta$ , supporting a small block of mass m on its side, rests on a horizontal frictionless table, as shown in figure. Assuming all surfaces are frictionless, What horizontal force F must be applied to the system to achieve this result?

asked Aug 28, 2014 by sreemathi.v

1 answer

Two blocks of masses $m_1=m$ and $m_2=2m$ are connected by a light string passing over a frictionless pulley.The mass $m_1$ is placed on a smooth inclined plane of inclination $\theta=30^{\large\circ}$ and mass $m_2$ hangs vertically as shown in figure below.If the system is released the tension in the string is

asked Aug 28, 2014 by sreemathi.v

1 answer

Two blocks of masses $m_1=m$ and $m_2=2m$ are connected by a light string passing over a frictionless pulley.The mass $m_1$ is placed on a smooth inclined plane of inclination $\theta=30^{\large\circ}$ and mass $m_2$ hangs vertically as shown in figure below.If the system is released,the blocks move with an acceleration equal to

asked Aug 28, 2014 by sreemathi.v

1 answer

A box can be moved up an inclined plane with constant velocity by a force of magnitude $F_1$ or down the inclined plane with constant velocity by a force of magnitude $F_2$ . Find the coefficient of kinetic friction $\mu_k$ between the box and the inclined plane. It holds that $F_1=6F_2$ and both forces are parallel with the inclined plane. The angle $\alpha$ between the inclined plane and the horizontal plane is $15^{\circ}$

asked Aug 27, 2014 by meena.p

1 answer

A 15 N force is applied to a $6.0\;kg$ block. Determine the acceleration of the block.

asked Aug 27, 2014 by meena.p

1 answer

A block of mass M is resting on an inclined plane as shown in figure below.The inclination of the plane to the horizontal is gradually increased.It is found that when the angle of inclination is $\theta$ the block just begins to the slide down the plane.What is the minimum force F applied parallel to the plane that would just make the block move up the plane?

asked Aug 27, 2014 by sreemathi.v

1 answer

Determine the rate of deceleration of $7.0 \;kg $ block sliding up an incline angled at $35^{\circ}$ to the horizontal. Assume that the coefficient of friction is $0.45$

asked Aug 27, 2014 by meena.p

1 answer

The upper half of an inclined plane of inclination $\theta$ is perfectly smooth while the lower half is rough.A block starting from rest at the top of the plane will again come to rest at the bottom if the coefficient of friction between the block and the lower half of the plane is given by

asked Aug 27, 2014 by sreemathi.v

1 answer

A block takes twice as much time to slide down a rough $45^{\large\circ}$ inclined plane as it takes to slide down an identical smooth $45^{\large\circ}$ inclined plane.The coefficient of kinetic friction between the block and the rough inclined plane is

asked Aug 27, 2014 by sreemathi.v

2 answers

A block is placed on the top of a smooth inclined plane of inclination $\theta$ kept on the floor of a lift.When the lift is descending with a retardation $a$,the block is released.The acceleration of the block relative to the incline is

asked Aug 27, 2014 by sreemathi.v

1 answer

A body of 5kg weight kept on a rough inclined plane of angle $30^{\large\circ}$ starts sliding with a constant velocity.Then the coefficient of friction is (assume $g=10m/s^2$)

asked Aug 27, 2014 by sreemathi.v

1 answer

A crate of mass m = 100kg is pushed at constant speed up a frictionless ramp $\theta=30^{\large\circ}$ by a horizontal force $\overrightarrow{F}$.What are the magnitudes of $\overrightarrow{F}$ and the force of the crate from the ramp?

asked Aug 27, 2014 by sreemathi.v

1 answer

Consider two identical blocks,one resting on a flat surface and the other resting on an incline.For which case is the normal force greater?

asked Aug 27, 2014 by sreemathi.v

1 answer

A block slides down a frictionless plane having an inclination of $\theta = 15.0^{\large\circ}$. The block starts from rest at the top, and the length of the incline is 2.00 m. Find its speed when it reaches the bottom of the incline

asked Aug 27, 2014 by sreemathi.v

1 answer

A $100-kg$ box is sliding down a frictional surface at a constant speed of $0.2\; m/s$ as shown. What is the value of $F_{norm}?$

asked Aug 27, 2014 by meena.p

1 answer

Calculate the magnitude of the normal force and the acceleration of the box in this experiment: Take a 10 kg box on a frictionless 30o inclined plane and release your hold, allowing the box to slide to the ground, a horizontal distance of d meters and a vertical distance of h meters as shown in the diagram below:

asked Aug 27, 2014 by sreemathi.v

1 answer

Determine the acceleration of a 12kg block sliding down a plane surface angled at $47^{\large\circ}$ to the horizontal.Assume that friction is negligible.

asked Aug 27, 2014 by sreemathi.v

1 answer

A tire weighing $2Kgs$ begins rolling down a steep hill (a $30^{\circ}$ incline) as shown. Determine the acceleration of the tire. Ignore resistance force.

asked Aug 27, 2014 by meena.p

1 answer

A little boy stands at the bottom of an inclined road and kicks a soccer ball. The ball rolls northward up the driveway and then rolls back to the ball. Which one of the following velocity-time graphs (A, B, C, or D) most accurately portrays the motion of the ball as it rolls up the driveway and back down?

asked Aug 27, 2014 by sreemathi.v

1 answer

A ball rolls off a flat surface on to a road that slopes downwards. Which one of the velocity-time graphs (A, B, C, or D) would be an appropriate representation of the ball's motion as it rolls across the horizontal surface and then down the incline? Consider frictional forces.

asked Aug 27, 2014 by meena.p

1 answer

A block is pushed up a frictionless inclined plane as shown below.Determine the magnitude of the horizontal force vector,F=|F|,that will keep the block sliding up the incline with a constant velocity :

asked Aug 27, 2014 by sreemathi.v

1 answer

A 1 kg mass on a frictionless inclined plane is connected by a pulley to a hanging 0.5kg mass,as in the diagram below.At what angle will the system be in equilibrium?

asked Aug 27, 2014 by sreemathi.v

1 answer

Three friends have a bet on the value of the normal force in this free body diagram for an inclined plane problem? Raj says its 500 N Ram says its 250 N and Rahul says that its 433 N. Who is correct?

asked Aug 26, 2014 by meena.p

1 answer

A block of mass M is resting on an inclined plane shown in fig. The inclination of the plane to the horizontal is gradually increased . It is found that when the angle of inclination is $\theta$ the block just begins to the slide down the plane. What is the minimum force F applied parallel to the plane that would just make the block move up the plane ?

asked Aug 26, 2014 by meena.p

1 answer

A particle of mass m is suspended from a ceiling through a string of length L. The particle moves in a horizontal circle of radius r. Find the speed of the particle.

asked Aug 26, 2014 by meena.p

1 answer

Suppose the designated speed for an exit ramp on a highway is to be $13.4\; m/s$ and the radius of the curve is $50.0\; m$. At what angle should the curve be banked? (i.e, the roadway is tilted towards inside of the curve).

asked Aug 26, 2014 by meena.p

1 answer

A 1.5 Kg car moving on a flat , horizontal road negotiates a curve. If the radius of the curve is 35 m and the coefficient of static friction between the tires and dry pavement is 0.5, find the maximum speed the car can have and still make the turn successfully.

asked Aug 26, 2014 by meena.p

1 answer

A ball of mass $0.500\;kg$ is attached to the end of a cord $1.50\;m$ long. The ball is whirled in a horizontal circle as shown in fig.If the cord can withstand a maximum tension of $50.0\;N$, What is the maximum speed at which the ball can be whirled before the cord breaks ? Assume that the string remains horizontal during the motion.

asked Aug 26, 2014 by meena.p

1 answer

Consider a block sliding down a frictionless inclined plane with acceleration a . If we double the mass of the block,what is its acceleration?

asked Aug 26, 2014 by sreemathi.v

1 answer

A Wheeled vehicle travels around a circular track of radius $50\;m$ The wheels are $2m$ apart(side ways) and the center of gravity is $0.8 m$ above the ground. The coefficient of friction is $0.4$ . Determine whether it overturns or slides sideways and determine the velocity at which it occurs ?

asked Aug 26, 2014 by meena.p

1 answer

A train rounds an unbanked circular bend of radius 50 m at a speed of $54\;km\;h^{-1}$. If $g= 10 \;m/s^{-2}$, the angle of banking required to prevent wearing out of rails is given by

asked Aug 26, 2014 by meena.p

1 answer

A train has to negotiate a curve of radius $200\;m$ . By how much should the outer rails be raised with respect to the inner rails for a speed of $36\;km\;h^{-1}$. The distance between the rails is $ 1.5\;m$ Take $g=10 \;m /s^2$

asked Aug 26, 2014 by meena.p

1 answer

A car moves at a speed of $36 \;km\;h^{-1}$ on a level road, The coefficient of fraction between the tyres and the road is $0.8 $. The car negotiates a curve of radius R. If $g =10 ms^2$ the car will skid (or slip) while negotiating the curve if value of R is

asked Aug 26, 2014 by meena.p

1 answer

A cyclist is moving with a speed of $6 ms^{-1} $, As he approaches a circular turn on the road of radius $120 \;m$ he applies brakes and reduces his speed at a constant rate of $ 0.4 \;ms^{-2} $. The magnitude of the net acceleration of the cyclist on the circular turn is

asked Aug 25, 2014 by meena.p

1 answer

A car of mass $750\;kg$ moves around a circular track of radius $50\;m$ with a speed of $10\;ms^{-1}$. What's the centripetal force on the car?

asked Aug 25, 2014 by meena.p

1 answer

A merry-go-round is turning at the rate of $10.0$ revolutions per minute. A $50.0\;kg$ youth is located $5.00 \;m$ from the axis of rotation . What is the centripetal force acting on him ?

asked Aug 25, 2014 by meena.p

1 answer

Consider the four wheeled vehicle travelling round a track banked at an angle $\theta$ to the horizontal, as shown. Let the conditions be such that when the vehicle is moving with a speed of $v$ there is no sideways force. The forces acting are then weight acting at the centre of gravity $G$ of the vehicle, and the normal reaction $R_1$ and $R_2$ at the wheels. Which of the following values of $\theta$ satisfies the condition for no sideways force?

asked Aug 25, 2014 by meena.p

1 answer

A small car with a mass of $0.8\; kg$ travels at constant speed on the inside of a track that is a vertical circle with a radius of $5.0\ m$. If the normal force exerted by the track on the car when it is at the top of the track is $6.0\; N$, What is the speed of the car?

asked Aug 25, 2014 by meena.p

1 answer

A small car with a mass of $0.8\; kg$ travels at constant speed on the inside of a track that is a vertical circle with a radius of $5.0\; m.$ If the normal force exerted by the track on the car when it is at the top of the track is $6.0\; N$, what is the normal force on the car when it is at the bottom of the track?

asked Aug 25, 2014 by meena.p

1 answer

A cyclist has to lean inwards when negotiating a curved unbanked road. The cyclist leans with an angle $\theta$ to the vertical. $N$ is the normal reaction given by $N=mg$, where $m$ is the mass of the cyclist and the bicycle combined. The radius of the curved road is $R$. The force of friction is given by $F=\mu N$ where $\mu$ is the co-efficient of friction. Assuming the cyclist skids which of the following is true?

asked Aug 25, 2014 by balaji.thirumalai

1 answer

Three blocks of masses $m_1, m_2$ and $m_3$, with $m_1 \lt m_2 \lt m_3$, are placed in contact with each other on a frictionless, horizontal surface, as shown. A constant horizontal force $F$ is applied to $m_1$ as shown. If the three masses are in the ratio of $1:2:3$, what is the ratio of the contact forces of the two heavier blocks, i.e, $F_2:F_3$?

asked Aug 20, 2014 by balaji.thirumalai

1 answer

Three blocks of masses $m_1, m_2$ and $m_3$, with $m_1 \lt m_2 \lt m_3$, are placed in contact with each other on a frictionless, horizontal surface, as shown. A constant horizontal force $F$ is applied to $m_1$ as shown. What is the contact force on $m_3$?

asked Aug 20, 2014 by balaji.thirumalai

1 answer

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