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Question
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
The correct answer 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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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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A block of mass m is projected on a smooth horizontal circular track with velocity v. What is average normal force exerted by the circular walls on the block during its motion from A to B.
A block of mass m is projected on a smooth horizontal circular track with velocity v. What is average normal force exerted by the circular walls on the block during its motion from A to B.
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A particle of mass m is going along surface of smooth hemisphere of radius R. At the moment shown its speed is v Choose correct option.
A particle of mass m is going along surface of smooth hemisphere of radius R. At the moment shown its speed is v Choose correct option.
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AB is a string whose one end A is fixed at the highest point of a ring placed in vertical plane. C is the centre of the ring. At other end B of the string, is attached a bead of mass m, which can slide along the ring. If the bead is in equilibrium at B & string is taut then the tension in the string is
AB is a string whose one end A is fixed at the highest point of a ring placed in vertical plane. C is the centre of the ring. At other end B of the string, is attached a bead of mass m, which can slide along the ring. If the bead is in equilibrium at B & string is taut then the tension in the string is
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Figure shows a boy on a horizontal platform A on a smooth horizontal surface, holding a rope attached to a box B. Boy pulls the rope with a constant force of 50 Nt. The combined mass of platform A and boy is 250 kg and that of box B is 500 kg. The velocity of A relative to the box B 5 s after the boy on A begins to pull the rope, will be:
Figure shows a boy on a horizontal platform A on a smooth horizontal surface, holding a rope attached to a box B. Boy pulls the rope with a constant force of 50 Nt. The combined mass of platform A and boy is 250 kg and that of box B is 500 kg. The velocity of A relative to the box B 5 s after the boy on A begins to pull the rope, will be:
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An iron sphere weighing 10 N rests in a V shaped smooth trough whose sides form an angle of 60° as shown in the figure. Then the reaction forces are
i) 
ii) 
iii) 
An iron sphere weighing 10 N rests in a V shaped smooth trough whose sides form an angle of 60° as shown in the figure. Then the reaction forces are
i)
ii)
iii)
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A body of mass m released from a height h on a smooth inclined plane that is shown in the figure. The following can be true about the velocity of the block knowing that the wedge is fixed.
A body of mass m released from a height h on a smooth inclined plane that is shown in the figure. The following can be true about the velocity of the block knowing that the wedge is fixed.
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