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In the figure one fourth part of a uniform disc of radius R is shown. The distance of the centre of mass of this object from centre ‘O’ is
The correct answer is:
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In the figure shown a hole of radius 2 cm is made in a semicircular disc of radius 6p at a distance 8 cm from the centre C of the disc. The distance of the centre of mass of this system from point C is :
In the figure shown a hole of radius 2 cm is made in a semicircular disc of radius 6p at a distance 8 cm from the centre C of the disc. The distance of the centre of mass of this system from point C is :
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A uniform chain of length 2L is hanging in equilibrium position, if end B is given a slightly downward displacement the imbalance causes an acceleration. Here pulley is small and smooth & string is inextensible The velocity v of the string when it slips out of the pulley (height of pulley from floor > 2L)
A uniform chain of length 2L is hanging in equilibrium position, if end B is given a slightly downward displacement the imbalance causes an acceleration. Here pulley is small and smooth & string is inextensible The velocity v of the string when it slips out of the pulley (height of pulley from floor > 2L)
physics-General
physics-
A uniform chain of length 2L is hanging in equilibrium position, if end B is given a slightly downward displacement the imbalance causes an acceleration. Here pulley is small and smooth & string is inextensible The acceleration of end B when it has been displaced by distance x, is
A uniform chain of length 2L is hanging in equilibrium position, if end B is given a slightly downward displacement the imbalance causes an acceleration. Here pulley is small and smooth & string is inextensible The acceleration of end B when it has been displaced by distance x, is
physics-General
physics-
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 :
physics-General
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Two massless string of length 5 m hang from the ceiling very near to each other as shown in the figure. Two balls A and B of masses 0.25 kg and 0.5 kg are attached to the string. The ball A is released from rest at a height 0.45 m as shown in the figure. The collision between two balls is completely elastic. Immediately after the collision, the kinetic energy of ball B is 1 J. The velocity of ball A just after the collision is
Two massless string of length 5 m hang from the ceiling very near to each other as shown in the figure. Two balls A and B of masses 0.25 kg and 0.5 kg are attached to the string. The ball A is released from rest at a height 0.45 m as shown in the figure. The collision between two balls is completely elastic. Immediately after the collision, the kinetic energy of ball B is 1 J. The velocity of ball A just after the collision is
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The system of the wedge and the block connected by a massless spring as shown in the figure is released with the spring in its natural length. Friction is absent. maximum elongation in the spring will be
The system of the wedge and the block connected by a massless spring as shown in the figure is released with the spring in its natural length. Friction is absent. maximum elongation in the spring will be
physics-General
physics-
As shown in the figure a body of mass m moving vertically with speed 3 m/s hits a smooth fixed inclined plane and rebounds with a velocity vf in the horizontal direction. If 
of inclined is 30°, the velocity vf will be
As shown in the figure a body of mass m moving vertically with speed 3 m/s hits a smooth fixed inclined plane and rebounds with a velocity vf in the horizontal direction. If of inclined is 30°, the velocity vf will be
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Two identical balls A and B are released from the positions shown in figure. They collide elastically on horizontal portion MN. All surfaces are smooth. The ratio of heights attained by A and B after collision will be(Neglect energy loss at M & N)
Two identical balls A and B are released from the positions shown in figure. They collide elastically on horizontal portion MN. All surfaces are smooth. The ratio of heights attained by A and B after collision will be(Neglect energy loss at M & N)
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The dumbbell is placed on a frictionless horizontal table. Sphere A is attached to a frictionless pivot so that B can be made to rotate about A with constant angular velocity. If B makes one revolution in period P, the tension in the rod is
The dumbbell is placed on a frictionless horizontal table. Sphere A is attached to a frictionless pivot so that B can be made to rotate about A with constant angular velocity. If B makes one revolution in period P, the tension in the rod is
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A hollow vertical cylinder of radius R is rotated with angular velocity w about an axis through its center. What is the minimum coefficient of static friction necessary to keep the mass M suspended on the inside of the cylinder as it rotates?
A hollow vertical cylinder of radius R is rotated with angular velocity w about an axis through its center. What is the minimum coefficient of static friction necessary to keep the mass M suspended on the inside of the cylinder as it rotates?
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physics-
The tube AC forms a quarter circle in a vertical plane. The ball B has an area of cross–section slightly smaller than that of the tube and can move without friction through it. B is placed at A and displaced slightly. It will
The tube AC forms a quarter circle in a vertical plane. The ball B has an area of cross–section slightly smaller than that of the tube and can move without friction through it. B is placed at A and displaced slightly. It will
physics-General
physics-
A small cube with mass M starts at rest at point 1 at a height 4R, where R is the radius of the circular part of the track. The cube slides down the frictionless track and around the loop. The force that the track exerts on the cube at point 2 is nearly _____ times the cube's weight Mg
A small cube with mass M starts at rest at point 1 at a height 4R, where R is the radius of the circular part of the track. The cube slides down the frictionless track and around the loop. The force that the track exerts on the cube at point 2 is nearly _____ times the cube's weight Mg
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A 10 kg ball attached to the end of a rigid massless rod of length 1 m rotates at constant speed in a horizontal circle of radius 0.5 m and period 1.57 sec as in fig. The force exerted by rod on the ball is
A 10 kg ball attached to the end of a rigid massless rod of length 1 m rotates at constant speed in a horizontal circle of radius 0.5 m and period 1.57 sec as in fig. The force exerted by rod on the ball is
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physics-
Three point particles P, Q, R move in circle of radius ‘r’ with different but constant speeds. They start moving at t = 0 from their initial positions as shown in the figure. The angular velocities (in rad/ sec) of P, Q and R are 5p, 2p & 3p respectively, in the same sense. The time interval after which they are at same angular position
Three point particles P, Q, R move in circle of radius ‘r’ with different but constant speeds. They start moving at t = 0 from their initial positions as shown in the figure. The angular velocities (in rad/ sec) of P, Q and R are 5p, 2p & 3p respectively, in the same sense. The time interval after which they are at same angular position
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physics-
A section of fixed smooth circular track of radius R in vertical plane is shown in the figure. A block is released from position A and leaves the track at B. The radius of curvature of its trajectory when it just leaves the track at B is:
A section of fixed smooth circular track of radius R in vertical plane is shown in the figure. A block is released from position A and leaves the track at B. The radius of curvature of its trajectory when it just leaves the track at B is:
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