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Easy
Question
A uniform rectangular solid of side length L and width w placed on a frictionless incline of variable angle, 
. Assume that there is a very tiny peg preventing the box from sliding down the incline at the point labeled P. At what angle of incline will the box begin to tip over?
The correct answer is:
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In the figure shown a long cart moves on a smooth horizontal surface due to an external constant force of magnitude F Initial mass of the cart is M0 and velocity is zero At t = 0 sand starts falling from a stationary hopper on to the cart with negligible velocity at constant rate m kg/s and sticks to the cart.
The velocity of the cart at time 
In the figure shown a long cart moves on a smooth horizontal surface due to an external constant force of magnitude F Initial mass of the cart is M0 and velocity is zero At t = 0 sand starts falling from a stationary hopper on to the cart with negligible velocity at constant rate m kg/s and sticks to the cart.
The velocity of the cart at time
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Two bodies have undergone an elastic one–dimensional collision along x–axis Figure is a graph of position versus time for these bodies and for their center of mass.
The mass of the body that was moving faster before the collision is ________ that of other body.
Two bodies have undergone an elastic one–dimensional collision along x–axis Figure is a graph of position versus time for these bodies and for their center of mass.
The mass of the body that was moving faster before the collision is ________ that of other body.
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Two bodies have undergone an elastic one–dimensional collision along x–axis Figure is a graph of position versus time for these bodies and for their center of mass.
Which line segment corresponds to the motion of the center of mass before and after the collision?
Two bodies have undergone an elastic one–dimensional collision along x–axis Figure is a graph of position versus time for these bodies and for their center of mass.
Which line segment corresponds to the motion of the center of mass before and after the collision?
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A disk A of radius r moving on perfectly smooth surface at a speed v undergoes an elastic collision with an identical stationary disk B. Find the velocity of the disk B after collision if the impact parameter is r/2 as shown in the figure
A disk A of radius r moving on perfectly smooth surface at a speed v undergoes an elastic collision with an identical stationary disk B. Find the velocity of the disk B after collision if the impact parameter is r/2 as shown in the figure
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A ball of mass 1kg strikes a heavy platform, elastically, moving upwards with a velocity of 5m/s. The speed of the ball just before the collision is 10m/s downwards. Then the impulse imparted by the platform on the ball is
A ball of mass 1kg strikes a heavy platform, elastically, moving upwards with a velocity of 5m/s. The speed of the ball just before the collision is 10m/s downwards. Then the impulse imparted by the platform on the ball is
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physics-
A smooth semicircular tube AB of radius r is fixed in a vertical plane and contains a heavy flexible chain of length p r and weight Wp r as shown. Assuming a slight disturbance to start the chain in motion, the velocity v with which it will emerge from the open end B of the tube is
A smooth semicircular tube AB of radius r is fixed in a vertical plane and contains a heavy flexible chain of length p r and weight Wp r as shown. Assuming a slight disturbance to start the chain in motion, the velocity v with which it will emerge from the open end B of the tube is
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A ball of mass m = 60gm is shot with speed v0 = 22m/s into the barrel of spring gun of mass M = 240g initially at rest on a frictionless surface. The ball sticks in the barrel at the point of maximum compression of the spring.
What fraction of initial kinetic energy of the ball is now stored in the spring?
A ball of mass m = 60gm is shot with speed v0 = 22m/s into the barrel of spring gun of mass M = 240g initially at rest on a frictionless surface. The ball sticks in the barrel at the point of maximum compression of the spring.
What fraction of initial kinetic energy of the ball is now stored in the spring?
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A ball of mass m = 60gm is shot with speed v0 = 22m/s into the barrel of spring gun of mass M = 240g initially at rest on a frictionless surface. The ball sticks in the barrel at the point of maximum compression of the spring.
The speed of the spring gun after the ball stops relative to the barrel, is
A ball of mass m = 60gm is shot with speed v0 = 22m/s into the barrel of spring gun of mass M = 240g initially at rest on a frictionless surface. The ball sticks in the barrel at the point of maximum compression of the spring.
The speed of the spring gun after the ball stops relative to the barrel, is
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A block of mass M on a horizontal smooth surface is pulled by a load of mass M/2 by means of a rope AB and string BC as shown in the figure. The length & mass of the rope AB are L and M/2 respectively. As the block is pulled from AB = L to AB = 0 its acceleration changes from
A block of mass M on a horizontal smooth surface is pulled by a load of mass M/2 by means of a rope AB and string BC as shown in the figure. The length & mass of the rope AB are L and M/2 respectively. As the block is pulled from AB = L to AB = 0 its acceleration changes from
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From a uniform disc of radius R, an equilateral triangle of side 
R is cut as shown. The new position of centre of mass is :
From a uniform disc of radius R, an equilateral triangle of side R is cut as shown. The new position of centre of mass is :
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The work done by the force 
around the path shown in the figure is
The work done by the force around the path shown in the figure is
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Three men A, B & C of mass 40kg, 50kg & 60kg are standing on a plank of mass 90kg, which is kept on a smooth horizontal plane. If A & C exchange their positions then mass B will shift
Three men A, B & C of mass 40kg, 50kg & 60kg are standing on a plank of mass 90kg, which is kept on a smooth horizontal plane. If A & C exchange their positions then mass B will shift
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A bead can slide on a smooth straight wire and a particle of mass m attached to the bead by a light string of length L. The particle is held in contact with the wire and with the string taut and is then let fall. If the bead has mass 2m then when the string makes an angle q with the wire, the bead will have slipped a distance
A bead can slide on a smooth straight wire and a particle of mass m attached to the bead by a light string of length L. The particle is held in contact with the wire and with the string taut and is then let fall. If the bead has mass 2m then when the string makes an angle q with the wire, the bead will have slipped a distance
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physics-
A particle parallel to x-axis as shown in the figure such that at all instant the y-axis component of it's position vector is constant and is equal to 'b'. The angular velocity of the particle about the origin is
A particle parallel to x-axis as shown in the figure such that at all instant the y-axis component of it's position vector is constant and is equal to 'b'. The angular velocity of the particle about the origin is
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A body with mass 2 kg moves in one direction in the presence of a force which is described by the potential energy graph. If the body is released from rest at x = 2m, then its speed when it crosses x = 5 m is
A body with mass 2 kg moves in one direction in the presence of a force which is described by the potential energy graph. If the body is released from rest at x = 2m, then its speed when it crosses x = 5 m is
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