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General
Easy
Question
Five identical springs are used in the following three configurations. The time periods of vertical oscillations in configurations i), ii) and iii) are in the ratio
The correct answer is:
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A mass M is attached to a horizontal spring of force constant k fixed on one side to a rigid support as shown in figure. The mass oscillates on a frictionless surface with time period T and amplitude A . When the mass is in equilibrium position. Another mass m is gently placed on it. What will be the new amplitude of oscillations?
A mass M is attached to a horizontal spring of force constant k fixed on one side to a rigid support as shown in figure. The mass oscillates on a frictionless surface with time period T and amplitude A . When the mass is in equilibrium position. Another mass m is gently placed on it. What will be the new amplitude of oscillations?
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Which of the following figure represent(s) damped simple harmonic motions?
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A block of mass 2 kg is moving on a frictionless horizontal surface with a velocity of 1 m/s towards another block of equal mass kept at rest. The spring constant of the spring fixed at one end is 100 N/m. Find the maximum compression of the spring.
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A body of mass 3 kg is acted on by a force which varies as shown in the graph below. The momentum acquired is given by (given initial momentum)
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A uniform rod of length and mass is pivoted at the centre. Its two ends are attached to two springs of equal spring constant The springs are fixed to rigid supports as shown in the figure, and the rod is free to oscillate in the horizontal plane. The rod is gently pushed through a small angle in one direction and released. The frequency of oscillation is
A uniform rod of length and mass is pivoted at the centre. Its two ends are attached to two springs of equal spring constant The springs are fixed to rigid supports as shown in the figure, and the rod is free to oscillate in the horizontal plane. The rod is gently pushed through a small angle in one direction and released. The frequency of oscillation is
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The frequency of oscillation of the springs shown in the figure will be
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A small block is connected to one end of a massless spring of un-stretched length . The other end of the spring (see the figure) is fixed. The system lies on a horizontal frictionless surface. The block is stretched by and released from rest at It then executes simple harmonic motion with angular frequency Simultaneously at a small pebble is projected with speed frompoint is at angle of as shown in the figure. Point is at a horizontal distance of from If the pebble hits the block at the value of is (take )
A small block is connected to one end of a massless spring of un-stretched length . The other end of the spring (see the figure) is fixed. The system lies on a horizontal frictionless surface. The block is stretched by and released from rest at It then executes simple harmonic motion with angular frequency Simultaneously at a small pebble is projected with speed frompoint is at angle of as shown in the figure. Point is at a horizontal distance of from If the pebble hits the block at the value of is (take )
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A small block is connected to one end of a massless spring of un-stretched length . The other end of the spring (see the figure) is fixed. The system lies on a horizontal frictionless surface. The block is stretched by and released from rest at It then executes simple harmonic motion with angular frequency Simultaneously at a small pebble is projected with speed frompoint is at angle of as shown in the figure. Point is at a horizontal distance of from If the pebble hits the block at the value of is (take )
A small block is connected to one end of a massless spring of un-stretched length . The other end of the spring (see the figure) is fixed. The system lies on a horizontal frictionless surface. The block is stretched by and released from rest at It then executes simple harmonic motion with angular frequency Simultaneously at a small pebble is projected with speed frompoint is at angle of as shown in the figure. Point is at a horizontal distance of from If the pebble hits the block at the value of is (take )
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A projectile of mass m is fired with velocity v from a point P as shown. Neglecting air resistance, the magnitude of the changed in momentum between the points P and arriving at Q is
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Blocks A and B of equal masses are arranged as shown in figure. The surface of A is smooth while B is rough and has a coefficient of friction 0.1 with surface. The block A moves with speed 10 m/s and collides with B. The collision is perfectly elastic. Find the distance moved by B before it comes to rest.
Blocks A and B of equal masses are arranged as shown in figure. The surface of A is smooth while B is rough and has a coefficient of friction 0.1 with surface. The block A moves with speed 10 m/s and collides with B. The collision is perfectly elastic. Find the distance moved by B before it comes to rest.
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A ball moving with velocity u collides with two identical balls placed in the track of first ball, after the elastic collision,
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Ball 1 collides with another identical ball 2 at rest as shown in figure. For what value of coefficient of restitution e, the velocity of second ball becomes two times that of 1 after collision
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A bullet of mass 20 g travelling horizontally with a speed of 500 m/s passes through a wooden block of mass 10.0 kg initially at rest on a surface. The bullet emerges with a speed of 100 m/s and the block slides 20 cm on the surface before coming to rest, the coefficient of friction between the block and the surface.
A bullet of mass 20 g travelling horizontally with a speed of 500 m/s passes through a wooden block of mass 10.0 kg initially at rest on a surface. The bullet emerges with a speed of 100 m/s and the block slides 20 cm on the surface before coming to rest, the coefficient of friction between the block and the surface.
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