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qUESTIONS

1.Rotational Dynamics

As per given figure to complete the circular loop what should be the radius if initial height is 5 m

1.Rotational Dynamics

A hollow sphere has radius 6.4 m. Minimum velocity required by a motor cyclist at bottom to complete the circle will be

1.Rotational Dynamics

A body of mass m hangs at one end of a string of lenth l, the other end of which is fixed. It is given a horizontal velocity so that the string would just reach where it makes an angle of 60∘ with the vertical. The tension in the string at bottommost point position is

1.Rotational Dynamics

A weightless thread can bear tension upto 3.7 kg wt .A stone of mass 500 gm is tied to it and rotated in a circular path of radius 4 m, in a vertical circle If g=10m/s2 then the maximum angular velocity of the stone will be

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.

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