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qUESTIONS

1.Rotational Dynamics

A cane filled with water is revolved in a vertical circle of radius 4 m and water just does not fall down. The time period of revolution will be –

1.Rotational Dynamics

A particle moves along a circle of radius (20)/(pi) m with constant tangential acceleration. If the velocity of the particle is 80m/s at the end of the second revolution after motion has begun, the tangential acceleration is :

1.Rotational Dynamics

A circular road of radius 1000 m has banking angle 45∘. The maximum safe speed of a car having mass 2000 kg will be, if the coefficient of friction between tyre and road is 0.5

1.Rotational Dynamics

Radius of the curved road on national highway is R. Width of the road is b. The outer edge of the road is raised by h with respect to inner edge so that a car with velocity v can pass safely over it. The value of h is

1.Rotational Dynamics

The coefficient of friction between the tyres and the road is 0.25. The maximum speed with which a car can be driven round a curve of radius 40 m without skidding is (assume g=10ms−2)

1.Rotational Dynamics

A cyclist turns around a curve at 15 km/hr if he turns at double the speed the tendency to overturn is.

1.Rotational Dynamics

A boy on a cycle pedals around a circle of 20 metres radius at a speed of The combined mass of the boy and the cycle is 90 kg. The angle that the cycle makes with the vertical so that it may not fall is (g=9.8 m/sec2)

1.Rotational Dynamics

When the road is dry and coefficient of static friction is μ, the maximum speed of a car in the circular path is 10 ms−1. If the road becomes wet and μ′=μ2, what is the maximum permitted speed for the car?

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