1) A volunteer is rotated in a direction of horizontal circle of radius 7m . find the period of rotation for which acceleration is equal to 3g.
2) A car of mass 1500kg is moving with a speed of 12.5m/s on a circular path of radius 20 m on a level road . what should be the value of coefficient of friction to attain this force ?
3) A circular track of radius 100m is designed for an average speed 54 km/h . find the average of banking .
4) Find the tension in the pendulum at the extreme position if amplitude is .
5) A sphere of mass 0.2 kg is attached to an inextensible string of length of 0.5 m whose upper end is fixed to the celling . the sphere is made to describe a horizontal circle of radius 0.3m . the speed of the sphere will be ?
6) Two wires ac and bc are tied at c of small sphere of mass 5kg , which revolves at a constant speed v in the horizontal circle of radius 1.6 m . the minimum value of v is ?
7) A man is supported on a frictionless horizontal surface . it is attached to a spring and rotates about a fixed centre at an angular velocity 20. The tension in the string is f, of the length of string and angular velocity are doubled , the tension in string is now?
8) A car of mass 1000kg moves on a circular track of radius 20m . if the coefficient of friction is 0.64 , then the maximum velocity with which the car can moves is?
9) Moment of inertia of a thin rod of mass m and length l about an axis passing through its centre is ml/m its moment of inertia about a parallel axis at a distance of l/4 from this axis is given by ?
10) A solid cylinder of mass 20 kg has length 1m and radius 0.2m . then its moment of inertia in kg m2 about its geometrical axis is?
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