Recent questions tagged unit3

A particle has initial velocity $\bar v =3 \hat i+4 \hat j$ and a constant force $F=4 \hat i-3 \hat j$ acts on the particle. The path of the particle is

asked Jul 11, 2013 by meena.p

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A nozzle is discharging water at a rate of 200 litre per second with a speed of 10 m per second. If the water strikes a wall at right angles and does not bounce of the wall, find the force F newton exerted by the wall on water. mass of 1 litre of the water is 1kg

asked Jul 11, 2013 by meena.p

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A man of mass 60 kg is pulling a mass M by an inextensible string passing over a frictionless (massless) pulley. The coefficient of friction between man and the ground is $\mu=\large\frac{1}{2}$. The maximum value of M that can be pulled by the man without slipping on ground is

asked Jul 11, 2013 by meena.p

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If you want to pile up sand onto a circular area of radius R, the greatest height of the pile to be erected without spilling sand on to the surrounding area is ($\mu$ - coefficient of friction between sand particles)

asked Jul 11, 2013 by meena.p

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A block of mass $m=2 kg$ is resting on a rough inclined plane of inclination $30 ^{\circ}$ as shown. the coefficient of friction between the block and the plane $\mu=0.5$ . What minimum force F should be applied perpendicular to the plane on the block so that the block does not slip on the plane $(g=10 m/s^2)$

asked Jul 11, 2013 by meena.p

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A block is placed on a rough inclined plane of inclination $\theta=30 ^{\circ}$ . If the force to drag it along the plane is to be smaller than to lift it, the coefficient of friction $\mu$ should be less than

asked Jul 11, 2013 by meena.p

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A block is placed on a rough horizontal plane attached with an elastic spring as shown.

asked Jul 11, 2013 by meena.p

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The coefficient of friction between the block A of mass m and block B of mass 2 m is $\mu$. There is no friction between block B and the inclined plane. If the system of blocks A and B is released from rest and there is no slipping between A and B then

asked Jul 10, 2013 by meena.p

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A system consists of three blocks A,B and C arranged as shown. The system is pushed by a force as shown in figure. All surfaces are smooth except between B and C,where coefficient of friction is $\mu$. Minimum value of F to prevent block B from slipping downward is

asked Jul 10, 2013 by meena.p

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A homogeneous chain of length L lies on a table. The coefficient of friction between chain and table is $\mu$. The maximum length which can hang over the table in equilibrium is ( The vertical portion of table is smooth)

asked Jul 10, 2013 by meena.p

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A car is going at a speed of 6m/s when it encouters a 15 m slope of angle $30 ^{\circ}$. The frictional coefficient between road and tyre is 0.5. The driver applies the brakes. The minimum speed of car with which he can reach the bottom is $(g=10 m/s^2)$

asked Jul 10, 2013 by meena.p

1 answer

Two blocks of 100 kg and 50 kg connected by a massless string passing over a frictionless pulley rests on frictionless inclined plates inclined at angles $30^{\circ}$ and $60^{\circ}$ what is the acceleration and which way the system moves? $(g=10 m/s)$

asked Jul 10, 2013 by meena.p

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In the figure $A=10 kg,B=5 kg$ and coefficient of friction between A and table is $ \mu=0.2$ . find the minimum value of mass C which may stop A from slipping

asked Jul 10, 2013 by meena.p

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A box is gently dropped on a conveyor belt in an airport moving of 3m/s. If the coeffiecient of friction between belt and box is 0.5, how far will the box move on the belt (relative to belt) before coming to rest ?

asked Jul 10, 2013 by meena.p

1 answer

Two masses $M_1$ and $M_2$ are attached to end of a string which passes over a pulley attached to the top of a double inclined plane. If $M_1$ and $M_2$ are $5 kg$ each. and the base angles are $30^{\circ}$ each. The tension in the string.

asked Jul 10, 2013 by meena.p

1 answer

A smooth block is released at rest on $45 ^{\circ}$ incline and then slides a distance 'd'. The time taken to slide is 'x' times as much to slide on rough incline than on smooth incline.The coefficient of friction is

asked Jul 10, 2013 by meena.p

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A block of mass m is in contact with the cart C as shown. The coefficient of static friction between the block and cart is $\mu$. The acceleration $\alpha$ of the cart that will prevent the block from falling satisfies

asked Jul 9, 2013 by meena.p

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A horizontal force of 10 N is necessary to just hold a block stationary against a wall. The coefficient of friction between the block and wall is $\mu$ The weight of the block is

asked Jul 9, 2013 by meena.p

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Two beads A and B move along a semicircular wire frame as shown. The beads are connected by an inelastic string which always remains tight. At an instant the speed of A is $u$ . $ \angle BAC=45^{\circ}$ and angle $BOC=75 ^{\circ}$ where O is center of the semicircular arc. The speed of bead B at that instant is

asked Jul 9, 2013 by meena.p

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With what acceleration 'a' should the box in the figure descend so that a body of mass M placed in it exerts a force $Mg/4$ on the base

asked Jul 9, 2013 by meena.p

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In the arrangement shown by what acceleration the boy must go up so that 100 kg block remains stationary on the wedge. The wedge is fixed and friction is absent, every where $(g=10 m/s^2)$

asked Jul 9, 2013 by meena.p

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Inside a horizontally moving box, a man finds that when an object is placed on a horizontal smooth table and released; it moves with an acceleration $10 m/s^2$ In this box if 1 kg body is suspended with a light string, the tension in the string in equilibrium position $(g=10 m/s^2)$

asked Jul 9, 2013 by meena.p

1 answer

A boy sitting on top berth in the compartment of a train which just going to stop in a railway station dops an apple aiming at open hand of his brother sitting vertically below his hands at a distance of 2m. The apple will fall

asked Jul 9, 2013 by meena.p

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A ball is moving with velocity v strikes a wall moving towards the ball with velociy u. An elastic impact lasts for t seconds. Find the mean elastic force acting on the ball

asked Jul 9, 2013 by meena.p

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A body of mass 2 kg is moving along x-direction with velocity 2m/s. If a force of 4N is acting on it along y direction for 1 second, then what will be the final velocity

asked Jul 8, 2013 by meena.p

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A man is standing stationary with respect to a horizontal conveyor belt that is accelerating with $1 m/s^2$. What is the net force on the man if the coefficient of static friction between man's shoes and belt is 0.2, upto what acceleration of belt can the man continue to be stationary relative to the belt? Mass of man$=65 kg; g=9.8 m/s^2$

asked Jul 8, 2013 by meena.p

1 answer

All surfaces are smooth in the figure. Find F such that block of mass m resting on a wedge of mass M remains stationary with respect to wedge

asked Jul 8, 2013 by meena.p

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A ball of mass 1 kg is at rest in position P by means of two light strings OP and RP. The string RP is now cut and the ball swing to position Q. If $\theta=45 ^{\circ}$ . Find the tension in the string OQ when RP is cut $(g=10 m/s^2)$

asked Jul 8, 2013 by meena.p

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A body A of mass 1kg is resting on a table and connected to body B and C as shown. The surface are smooth and string and spring are massless. The string is inextensible. Find the extension in the spring if force constant of spring $=k=50 N/m$ take $(g=10 m/s^2)$

asked Jul 8, 2013 by meena.p

1 answer

A fireman has to carry an injured person of mass 40 kg from the top of a building with the help of the rope which can with stand a load of 100 kg. The acceleration of the fireman if his mass is 80 kg will be

asked Jul 8, 2013 by meena.p

1 answer

A disk of mass 10 gm is kept horizontaly in air by firing bullets of mass 5 g each. each at the rate of 10/s. If the bullet rebounds with which the bullets are fired is

asked Jul 8, 2013 by meena.p

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An inclined plane is inclined at an angle $\theta$ when the block placed on it is just at the point of moving down the plane. What can be the minimum acceleration with which the block can be moved up the inclined plane.

asked Jul 8, 2013 by meena.p

1 answer

The system as shown is released from rest. Neglecting friction and masses of pulleys, spring & rope the spring gets elongated if

asked Jul 8, 2013 by meena.p

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A horizontal force F is applied on a rod inserted between two identical blocks A and B placed over a rough surface as shown.Force F is gradually increased then which of the block will move first.

asked Jul 8, 2013 by meena.p

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An inclined plane makes an angle $30 ^{\circ}$ with horizontal. A groove $OA=5 m$ cut on the plane makes an angle $30 ^{\circ}$ with $OX$. A short smooth cylinder is free to slide down the groove under the influence of gravity. The time taken by the cylinder to reach from A to O is $(g=10 m/s^2)$

asked Jul 5, 2013 by meena.p

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A body of mass 50 kg is pulled by a rope of length 8 m on a surface by a force of 108 N applied at the other end. The force that is acting on the 50 kg mass, if the linear density of rope is 0.5 kg/m will be

asked Jul 5, 2013 by meena.p

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A block of mass M is pulled along a horizontal frictionless surface by a rope of mass m. If a force P is applied at the free end of the rope, the force exerted by the rope on the block will be

asked Jul 5, 2013 by meena.p

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A boy standing on a weighing machine observe his weight to be $200 N$. when he suddenly jumps upwards, his friend notice that the reading increased to $400 N$. The acceleration with which the boy jumped will be

asked Jul 5, 2013 by meena.p

1 answer

A lift is moving downward with an acceleration equal to acceleration due to gravity. A body of mass M kept on the floor of the lift is pulled horizontally. If the coefficient of friction is $\mu$, then the frictional resistance offered by the body is

asked Jul 5, 2013 by meena.p

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An object initially at rest explodes into three fragments. A,B and C The momentum of A is P$ \overrightarrow i $ that of B is $\sqrt 3$ P $\overrightarrow j$ where P is positive number. The momentum of C into be

asked Jul 5, 2013 by meena.p

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A $250 \;kg$ boat $4.5\;m$ long is floating with out motion on still water, with a boy of mass $50\; kg$ at one end. If he runs to the other end of the boat and stops, by how much distance the boat moves back?

asked Jul 5, 2013 by meena.p

1 answer

A ball of mass m strikes an identical ball at rest with speed of 10 m/s. After collision which is assumed perfectly elastic the first ball is found to move with speed 8 m/s. Speed of $2 ^{nd}$ ball and angle between the paths of two balls after collision is

asked Jul 5, 2013 by meena.p

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A shell of mass 'M' moving with velocity 'V' suddenly explodes into two fragments. One of the mass 'm' is reduced to rest. Find the velocity of the other fragment.

asked Jul 5, 2013 by meena.p

1 answer

A rocket burns fuel at the rate of $200 kg/s$. The exhaust gases are ejected down with a velocity of $400 m/s$. The upthrust developed by the rocket engine is

asked Jul 5, 2013 by meena.p

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A car of mass $2 \times 10 ^3 kg$ is to travel over a turn of radius $0.75 km$ and slope of angle $5^{\circ}$ If coefficient of friction between wheel and road is 0.5 maximum speed the car can travel with out slipping is $(\tan 5^{\circ}=0.087)$

asked Jul 5, 2013 by meena.p

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A body of mass $4 kg$ is at rest on a horizontal table. The coefficient of friction between body and table is 0.3 . Find the acceleration of the body if a horizontal force applied on the body is 20 N

asked Jul 4, 2013 by meena.p

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Two masses of $10\; kg$ and $20\; kg$ respectively are connected by a massless spring. A pull of $100 N$ acts on the mass $20 kg$. If the instantaneous acceleration of 10 kg mass is $2 m/s^2$, what is the acceleration of $20 kg$ mass

asked Jul 4, 2013 by meena.p

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A man pushes a truck initially at rest and weighting $2.5$ tonne along a horizontal rail with a steady force of $200 N$. The resistance to the motion amounts to $30 N$ per tonne. The velocity of the truck at the end of 30 seconds is

asked Jul 4, 2013 by meena.p

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If the normal to force is doubled, the coefficient of friction is

asked Jul 4, 2013 by meena.p

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