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JEE 2020 Physics: System of Particles & Rotational Dynamics Quiz - 2 (07.08.2019)
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Question 1
A string is wound around a hollow cylinder of mass 5 kg and radius 0.5 m. If the string is now pulled with a horizontal force of 40 N, and the cylinder is rolling without slipping on a horizontal surface (see figure), then the angular acceleration of the cylinder will be (Neglect the mass and thickness of the string):
Question 2
The magnitude of torque on a particle of mass 1 kg is 2.5 Nm about the origin. If the force acting on it is 1 N, and the distance of the particle from the origin is 5 m, the angle between the force and the position vector is (in radians):
Question 3
What is the moment of inertia I of a uniform solid sphere of mass M and radius R, pivoted about an axis that is tangent to the surface of the sphere
Question 4
Consider the following statements :
S1 : Zero net torque on a body means absence of rotational motion of the body.
S2 : A particle may have angular momentum even though the particle is not moving in a circle.
S3 : A ring is rolling without sliding on a fixed surface. The centripetal acceleration of each particle with respect to the centre of the ring is same.
State in order, whether S1, S2, S3 are true or false.
S1 : Zero net torque on a body means absence of rotational motion of the body.
S2 : A particle may have angular momentum even though the particle is not moving in a circle.
S3 : A ring is rolling without sliding on a fixed surface. The centripetal acceleration of each particle with respect to the centre of the ring is same.
State in order, whether S1, S2, S3 are true or false.
Question 5
A disc rolls without slipping on a horizontal surface with constant angular velocity ω. P and Q are two points such that their distance from the centre C is same. If 
and 
are the respective magnitude of velocities at C,Q and P then
and are the respective magnitude of velocities at C,Q and P then Question 6
A small object of uniform density rolls up a curved surface with a initial velocity v. It reaches up to a maximum height of 
with respect to the initial position. The object is___.
with respect to the initial position. The object is___. Question 7
A hollow cylinder open at both ends (a)slips without rolling (b) rolls without slipping with the same velocity. The ratio of the kinetic energies in the two cases will be
Question 8
The moment of inertia of a solid disc made of thin metal of radius 
and mass 
about one of its diameters is given by 
. What will be moment of inertia about this axis if the disc if folded in half about this diameter?
and mass about one of its diameters is given by . What will be moment of inertia about this axis if the disc if folded in half about this diameter? Question 9
Which one of the following four graphs best depict the variation with x of the moment of inertia I of a uniform triangular lamina about an axis parallel to its base at a distance x from it:
Question 10
A bullet of mass m moving with velocity u just grazes the top of a solid cylinder of mass M and radius R resting on a rough horizontal surface as shown in the figure. Assuming that the cylinder rolls without slipping. Find the final velocity of the bullet and angular velocity of the cylinder.
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Aug 25JEE & BITSAT
