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General
Easy
Question
One quarter sector is cut from a uniform circular disc of radius R. This sector has mass M. It is made to rotate about a line perpendicular to its plane and passing through the centre of the original disc. Its moment of inertia about the axis of rotation is
The correct answer is:
Related Questions to study
physics-
An equilateral triangle ABC formed from a uniform wire has two small identical beads initially located at AO. Then, the beads are released from rest simultaneously and allowed to slide down, one along AB and the other AC as shown. Neglecting frictional effects, the quantities that are conserved as the beads slide down, are:
An equilateral triangle ABC formed from a uniform wire has two small identical beads initially located at AO. Then, the beads are released from rest simultaneously and allowed to slide down, one along AB and the other AC as shown. Neglecting frictional effects, the quantities that are conserved as the beads slide down, are:
physics-General
physics-
A thin wire of length L and uniform linear mass density 
is bent into a circular loop with centre at O as shown. The moment of inertia of the loop about the axis XX’ is:
A thin wire of length L and uniform linear mass density is bent into a circular loop with centre at O as shown. The moment of inertia of the loop about the axis XX’ is:
physics-General
physics-
A cubical block of side L rests on a rough horizontal surface with coefficient of friction 
. A horizontal force F is applied on the block as shown. If the coefficient of friction is sufficiently high so that the block does not slide before toppling, the minimum force required to topple the block is:
A cubical block of side L rests on a rough horizontal surface with coefficient of friction . A horizontal force F is applied on the block as shown. If the coefficient of friction is sufficiently high so that the block does not slide before toppling, the minimum force required to topple the block is:
physics-General
physics-
A disc of mass M and radius R is rolling with angular speed w on a horizontal as shown. The magnitude of angular momentum of the disc about the origin O is:
A disc of mass M and radius R is rolling with angular speed w on a horizontal as shown. The magnitude of angular momentum of the disc about the origin O is:
physics-General
physics-
A smooth sphere A is moving on a frictionless horizontal plane with angular speed 
and centre of mass velocity v. It collides elastically and head on with an identical sphere B at rest. Neglect friction everywhere. After the collision, their angularspeeds are ) 
, respectively. Then
A smooth sphere A is moving on a frictionless horizontal plane with angular speed and centre of mass velocity v. It collides elastically and head on with an identical sphere B at rest. Neglect friction everywhere. After the collision, their angularspeeds are ) , respectively. Then
physics-General
physics-
A cubical block of side a is moving with velocity v on a horizontal smooth plane as shown. It hits a ridge at point O. The angular speed of the block after it hits O is:
A cubical block of side a is moving with velocity v on a horizontal smooth plane as shown. It hits a ridge at point O. The angular speed of the block after it hits O is:
physics-General
physics-
In a region of only gravitational field of mass 'M' a particle is shifted from A to B via three different paths in the figure. The work done in different paths are W1, W2, W3 respectively then
In a region of only gravitational field of mass 'M' a particle is shifted from A to B via three different paths in the figure. The work done in different paths are W1, W2, W3 respectively then
physics-General
physics-
A simple pendulum is oscillating without damping. When the displacement of the bob is less that maximum, its acceleration vector 
is correctly shown in
A simple pendulum is oscillating without damping. When the displacement of the bob is less that maximum, its acceleration vector is correctly shown in
physics-General
physics-
An insect crawls up a hemispherical surface very slowly (see the figure). The coefficient of friction between the insect and the surface is 1/3. If the line joining the centre of the hemispherical surface to the insect makes an angle a with the vertical, the maximum possible value of 
is given by
An insect crawls up a hemispherical surface very slowly (see the figure). The coefficient of friction between the insect and the surface is 1/3. If the line joining the centre of the hemispherical surface to the insect makes an angle a with the vertical, the maximum possible value of is given by
physics-General
physics-
Two blocks A and B of masses 2m and m, respectively, are connected by a massless and inextensible string The whole system is suspended by a massless spring as shown in the figure The magnitudes of acceleration of A and B, immediately after the string is cut, are respectively
Two blocks A and B of masses 2m and m, respectively, are connected by a massless and inextensible string The whole system is suspended by a massless spring as shown in the figure The magnitudes of acceleration of A and B, immediately after the string is cut, are respectively
physics-General
physics-
A block of mass 
is placed on a rough horizontal surface whose coefficient of friction is 
minimum value of force F (shown in figure) for which the block starts to slide on the surface. (g=10m/s2)
A block of mass is placed on a rough horizontal surface whose coefficient of friction is minimum value of force F (shown in figure) for which the block starts to slide on the surface. (g=10m/s2)
physics-General
physics-
A string of negligible mass going over a clamped pulley of mass m supports a block of mass M as shown in the figure. The force on the pulley by the clamp is given
A string of negligible mass going over a clamped pulley of mass m supports a block of mass M as shown in the figure. The force on the pulley by the clamp is given
physics-General
physics-
The pulleys and strings shown in the figure are smooth and of negligible mass. For the system to remain in equilibrium, the angle 
should be
The pulleys and strings shown in the figure are smooth and of negligible mass. For the system to remain in equilibrium, the angle should be
physics-General
physics-
At x = 0 how many times the value of y1 + y2 is zero in one second?
At x = 0 how many times the value of y1 + y2 is zero in one second?
physics-General
physics-
A massless rod is suspended by two identical strings AB and CD of equal length. A block of mass m is suspended from point O such that BO is equal to ‘x’. Further, it is observed that the frequency of 1st harmonic (fundamental frequency) in AB is equal to 2nd harmonic frequency in CD. Then, length of BO is
A massless rod is suspended by two identical strings AB and CD of equal length. A block of mass m is suspended from point O such that BO is equal to ‘x’. Further, it is observed that the frequency of 1st harmonic (fundamental frequency) in AB is equal to 2nd harmonic frequency in CD. Then, length of BO is
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