Physics-
General
Easy
Question
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
The correct answer is:
Related Questions to study
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:
physics-General
physics-
A 2 Kg block moving with 10 m/s strikes a spring of constant 
N/m attached to 2 Kg block at rest kept on a smooth floor. The time for which rear moving block remain in contact with spring will be
A 2 Kg block moving with 10 m/s strikes a spring of constant N/m attached to 2 Kg block at rest kept on a smooth floor. The time for which rear moving block remain in contact with spring will be
physics-General
physics-
A particle of mass m moves in the potential energy U shown above. The period of the motion when the particle has total energy E is
A particle of mass m moves in the potential energy U shown above. The period of the motion when the particle has total energy E is
physics-General
physics-
A system of two identical rods (L-shaped) of mass m and length l are resting on a peg P as shown in the figure. If the system is displaced in its plane by a small angle 
, find the period of oscillations:
A system of two identical rods (L-shaped) of mass m and length l are resting on a peg P as shown in the figure. If the system is displaced in its plane by a small angle , find the period of oscillations:
physics-General
physics-
Two particles undergo SHM along parallel lines with the same time period (T) and equal amplitudes. At a particular instant, one particle is at its extreme position while the other is at its mean position. They move in the same direction. They will cross each other after a further time
Two particles undergo SHM along parallel lines with the same time period (T) and equal amplitudes. At a particular instant, one particle is at its extreme position while the other is at its mean position. They move in the same direction. They will cross each other after a further time
physics-General
physics-
A man is swinging on a swing made of 2 ropes of equal length L and in direction perpendicular to the plane of paper. The time period of the small oscillations about the mean position is
A man is swinging on a swing made of 2 ropes of equal length L and in direction perpendicular to the plane of paper. The time period of the small oscillations about the mean position is
physics-General
physics-
Find the ratio of time periods of two identical springs if they are first joined in series & then in parallel & a mass m is suspended from them :
Find the ratio of time periods of two identical springs if they are first joined in series & then in parallel & a mass m is suspended from them :
physics-General
maths-
Let u(x) be a twice differenctiable function defined in 
holds the relation 
then
Let u(x) be a twice differenctiable function defined in holds the relation then
maths-General
