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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 correct answer 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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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
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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
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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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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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A bob attached to a string is held horizontal and released. The tension and vertical distance from point of suspension can be represented by
A bob attached to a string is held horizontal and released. The tension and vertical distance from point of suspension can be represented by
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A ball whose size is slightly smaller than width of the tube of radius 2.5 m is projected from bottommost point of a smooth tube fixed in a vertical plane with velocity of 10 m/s. If N1 and N2 are the normal reactions exerted by inner side and outer side of the tube on the ball
A ball whose size is slightly smaller than width of the tube of radius 2.5 m is projected from bottommost point of a smooth tube fixed in a vertical plane with velocity of 10 m/s. If N1 and N2 are the normal reactions exerted by inner side and outer side of the tube on the ball
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A conical pendulum is moving in a circle with angular velocity 
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A car travelling on a smooth road pass through a curved portion of the road in form of an arc of circle of radius 10 m. If the mass of car is 500 kg, the reaction on car at lowest point P where its speed is 20 m/s is
A car travelling on a smooth road pass through a curved portion of the road in form of an arc of circle of radius 10 m. If the mass of car is 500 kg, the reaction on car at lowest point P where its speed is 20 m/s is
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In a conical pendulum, the bob is rotated with different angular velocities and tension in the string is calculated for different values of w. Which of them is correct graph between T & w
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Tangential acceleration of a particle moving in a circle of radius 1 m varies with time t as (initial velocity of particle is zero). Time after which total acceleration of particle makes and angle of 30° with radial acceleration is
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A spring block system is placed on a rough horizontal floor. The block is pulled towards right to give spring an elongation less than 
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and released. The correct statement is
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A spring block system is placed on a rough horizontal floor. The block is pulled towards right to give spring an elongation less than but more than and released. Which of the following laws/principles of physics can be applied on the spring block system
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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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