If the length of the second's hand in a stop clock is 3 cm the angular velocity and linear velocity of the tip is
In a circus stuntman rides a motorbike in a circular track of radius R in the vertical plane. The minimum speed at highest point of track will be
A block of mass m at the end of a string is whirled round in a vertical circle of radius R . The critical speed of the block at the top of its swing below which the string would slacken before the block reaches the top is
A sphere is suspended by a thread of length l . What minimum horizontal velocity has to be imparted the ball for it to reach the height of the suspension
A bottle of soda water is grasped by the neck and swing briskly in a vertical circle. Near which portion of the bottle do the bubbles collect
A bucket tied at the end of a 1.6 m long string is whirled in a vertical circle with constant speed. What should be the minimum speed so that the water from the bucket does not spill, when the bucket is at the highest position (Take g=10m/sec² )
A 1 kg stone at the end of 1 m long string is whirled in a vertical circle at constant speed of 4 m/sec. The tension in the string is 6 N, when the stone is at (g = 10 m/sec2)
A cane filled with water is revolved in a vertical circle of radius 4 meter and the water just does not fall down. The time period of revolution will be
A 2 kg stone at the end of a string 1 m long is whirled in a vertical circle at a constant speed. The speed of the stone is 4 m/sec. The tension in the string will be 52 N, when the stone is
A body slides down a frictionless track which ends in a circular loop of diameter D , then the minimum height h of the body in term of D so that it may just complete the loop, is
A car is moving with speed 30 m/s on a circular path of radius 500 m. Its speed is increasing at the rate of 2m/sec² What is the acceleration of the car
The string of pendulum of length l is displaced through 90° from the vertical and released. Then the minimum strength of the string in order to withstand the tension, as the pendulum passes through the
mean position is
A weightless thread can support tension upto 30 N. A stone of mass 0.5 kg is tied to it and is revolved in a circular path of radius 2 m in a vertical plane. If g=10m/s² , then the maximum angular velocity of the stone will be
A heavy mass is attached to a thin wire and is whirled in a vertical circle. The wire is most likely to break
A weightless thread can bear tension upto 3.7 kg wt. A stone of mass 500 gms is tied to it and revolved in a circular path of radius 4 m in a vertical plane. If g=10ms¯², then the maximum angular velocity of the stone will be
If the equation for the displacement of a particle moving on a circular path is given by (θ)=2t³+0.5 , where θ is in radians and t in seconds, then the angular velocity of the particle after 2 sec from its start is
In a vertical circle of radius r, at what point in its path a particle has tension equal to zero if it is just able to complete the vertical circle
A hollow sphere has radius 6.4 m. Minimum velocity required by a motor cyclist at bottom to complete the circle will be
A pendulum bob on a 2 m string is displaced 60o from the vertical and then released. What is the speed of the bob as it passes through the lowest point in its path
A fan is making 600 revolutions per minute. If after some time it makes 1200 revolutions per minute, then increase in its angular velocity is
A particle is tied to 20cm long string. It performs circular motion in vertical plane. What is the angular velocity of string when the tension in the string at the top is zero
A stone tied with a string, is rotated in a vertical circle. The minimum speed with which the string has to be rotated
For a particle in a non-uniform accelerated circular motion
A coin, placed on a rotating turn-table slips, when it is placed at a distance of 9 cm from the centre. If the angular velocity of the turn-table is trippled, it will just slip, if its distance from the centre is
When a ceiling fan is switched off its angular velocity reduces to 50% while it makes 36 rotations. How many more rotation will it make before coming to rest (Assume uniform angular retardation)
