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Question
A square sheet of edge length L and uniform mass per unit area is used to form a hollow cylinder. The moment of inertia of this cylinder about the central axis is
The correct answer is:
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Moment of inertia of a semicircular ring of radius R and mass M ; about an axis passing through A and perpendicular to the plane of the paper is
Moment of inertia of a semicircular ring of radius R and mass M ; about an axis passing through A and perpendicular to the plane of the paper is
physics-General
physics-
Moment of inertia of a thin semicircular disc (mass = M & radius = R) about an axis through point O and perpendicular to plane of disc, is given by :
Moment of inertia of a thin semicircular disc (mass = M & radius = R) about an axis through point O and perpendicular to plane of disc, is given by :
physics-General
physics-
In the triangular sheet given PQ = QR = l. If M is the mass of the sheet. What is the moment of inertial about PR
In the triangular sheet given PQ = QR = l. If M is the mass of the sheet. What is the moment of inertial about PR
physics-General
physics-
The moment of inertia of semicircular plate of radius R and mass M about axis AA’ in its plane passing through its centre is
The moment of inertia of semicircular plate of radius R and mass M about axis AA’ in its plane passing through its centre is
physics-General
physics-
Let I1, I2 and I3 be the moment of inertia of a uniform square plate about axes AOC, xDx' and yBy' respectively as shown in the figure. The moments of inertia of the plate I1: I2: I3 are in the ratio.
Let I1, I2 and I3 be the moment of inertia of a uniform square plate about axes AOC, xDx' and yBy' respectively as shown in the figure. The moments of inertia of the plate I1: I2: I3 are in the ratio.
physics-General
physics-
Moment of inertia of a rectangular plate about an axis passing through P and perpendicular to the plate is I. Then moment of PQR about an axis perpendicular to the plane of the plate:
Moment of inertia of a rectangular plate about an axis passing through P and perpendicular to the plate is I. Then moment of PQR about an axis perpendicular to the plane of the plate:
physics-General
physics-
Find the moment of inertia of a plate cut in shape of a right angled triangle of mass M, side AC = BC = a about an axis perpendicular to the plane of the plate and passing through the mid point of side AB
Find the moment of inertia of a plate cut in shape of a right angled triangle of mass M, side AC = BC = a about an axis perpendicular to the plane of the plate and passing through the mid point of side AB
physics-General
physics-
A point mass mA is connected to a point mass mB by a massless rod of length l as shown in the figure. It is observed that the ratio of the moment of inertia of the system about the two axes BB and AA, which is parallel to each other and perpendicular to the rod is The distance of the centre of mass of the system from the mass A is
A point mass mA is connected to a point mass mB by a massless rod of length l as shown in the figure. It is observed that the ratio of the moment of inertia of the system about the two axes BB and AA, which is parallel to each other and perpendicular to the rod is The distance of the centre of mass of the system from the mass A is
physics-General
physics-
Two springs with negligible masses and force constant of are attached to the block of mass m = 10 kg as shown in the figure. Initially the block is at rest, at the equilibrium position in which both springs are neither stretched nor compressed. At time t = 0, a sharp impulse of 50 Ns is given to the block with a hammer.
Two springs with negligible masses and force constant of are attached to the block of mass m = 10 kg as shown in the figure. Initially the block is at rest, at the equilibrium position in which both springs are neither stretched nor compressed. At time t = 0, a sharp impulse of 50 Ns is given to the block with a hammer.
physics-General
physics-
A particle of mass m performs SHM along a straight line with frequency f and amplitude A.
A particle of mass m performs SHM along a straight line with frequency f and amplitude A.
physics-General
physics-
A particle starts from a point P at a distance of A/2 from the mean position O & travels towards left as shown in the figure. If the time period of SHM, executed about O is T and amplitude A then the equation of motion of particle is :
A particle starts from a point P at a distance of A/2 from the mean position O & travels towards left as shown in the figure. If the time period of SHM, executed about O is T and amplitude A then the equation of motion of particle is :
physics-General
physics-
The figure shows a graph between velocity and displacement (from mean position) of a particle performing SHM:
The figure shows a graph between velocity and displacement (from mean position) of a particle performing SHM:
physics-General
physics-
For a particle executing S.H.M., x = displacement from equilibrium position, v = velocity at any instant and a = acceleration at any instant, then
For a particle executing S.H.M., x = displacement from equilibrium position, v = velocity at any instant and a = acceleration at any instant, then
physics-General
physics-
The displacement-time graph of a particle executing SHM is shown. Which of the following statements is/are true?
The displacement-time graph of a particle executing SHM is shown. Which of the following statements is/are true?
physics-General
physics-
A block is placed on a horizontal plank. The plank is performing SHM along a vertical line with amplitude of 40cm. The block just loses contact with the plank when the plank is momentarily at rest. Then:
A block is placed on a horizontal plank. The plank is performing SHM along a vertical line with amplitude of 40cm. The block just loses contact with the plank when the plank is momentarily at rest. Then:
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