EASY
Earn 100
The length of hour hand of a wrist watch is . Find magnitude of angular acceleration.
Important Questions on Rotational Dynamics
EASY
Obtain the relation between the magnitude of linear acceleration and angular acceleration in circular motion.
EASY
If a particle moves in a curved path, it must have a component of acceleration
EASY
A particle is moving in the plane and its coordinates at any time are given by where, . The direction of the force it experiences at, is,
EASY
An object moves at a constant speed along a circular path in a horizontal plane with centre at the origin. When the object is at , its velocity is . The object’s velocity and acceleration at will be
EASY
One end of string of length is connected to a particle of mass and the other end is connected to a small peg on a smooth horizontal table. If the particle moves in circle with speed , the net force on the particle (directed towards center) will be ( represents the tension in the string)
HARD
A uniform disc of radius and of mass is mounted on an axis supported in fixed frictionless bearing. A light cord is wrapped around the rim of the wheel. Suppose that we hang a body of mass from the cord, the angular acceleration is
EASY
The angular velocity of a ceiling fan reduces to after rotations since it is switched off. Assuming uniform retardation, the number of rotations it further makes before coming to rest is
EASY
A child of mass is going round a merry-go-round that makes rotation in . The radius of the merry-go-round is . The centrifugal force on the child will be
MEDIUM
A uniform rod of mass and length is suspended at its ends by means of two light inextensible strings so that the rod is horizontal. If one of the strings is cut, then the angular acceleration of the rod is (Acceleration due to gravity )
EASY
A particle is moving in uniform circular motion with speed and radius . The angular acceleration of the particle is:
HARD
A car is moving on a circular path of radius such that the magnitudes of the tangential acceleration and centripetal acceleration are equal. The time taken by the car to complete first quarter of revolution, if it is moving with an initial speed of is . The value of is ______.
MEDIUM
If a body moving in a circular path maintains constant speed of , then which of the following correctly describes the relation between acceleration and radius?
EASY
A stone tied to long string at its end is making revolutions in horizontal circle in every minute. The magnitude of acceleration of stone is . The value of ______.
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EASY
The centripetal acceleration required for a particle to move on a circle of radius with speed is
EASY
A stone of mass is tied to end of a massless string of length . If the breaking tension of the string is , then maximum linear velocity, the stone can have without breaking the string, while rotating in horizontal plane, is:
EASY
The angular acceleration of a body, moving along the circumference of a circle, is:
MEDIUM
A bead is tied on one end of a stiff rope of length With the other end of the rope as the center, the rope is rotated in such a way that the bead completes revolutions per second. The centripetal acceleration of the bead is
MEDIUM
In the given figure, represents the total acceleration of a particle moving in the clockwise direction in a circle of the radius at a given instant of time. The speed of the particle is
EASY
If the kinetic energy of a particle of mass performing uniform circular motion in a circle of radius is find the acceleration of the particle.
EASY
The moon revolved about the earth making a complete revolution in . Assume that the orbit is circular and has a radius of . What is the magnitude of the acceleration of the moon towards the earth?
