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Recent questions tagged circular-motion

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

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

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