A point mass 'm' is moved in a vertical circle of radius 'r' with the help of a string. The velocity of the mass is at the lowest point. The tension in the string at the lowest point will be:
1. 6 mg
2. 7 mg
3. 8 mg
4. 1 mg
A particle of mass ‘m’ having speed v goes in a vertical circular motion such that its centre is at its origin, as shown in the figure. If at any instant the angle made by the string with a negative y-axis is then the tension in the string is:
[Take radius = R]
A bucket full of water tied with the help of a 2 m long string performs a vertical circular motion. The minimum angular velocity of the bucket at the uppermost point so that water will not fall will be:
1. 2 rad/s
2. rad/s
3. 5 rad/s
4. 10 rad/s
The kinetic energy 'K' of a particle moving in a circular path varies with the distance covered S as K = a, where a is constant. The angle between the tangential force and the net force acting on the particle is: (R is the radius of the circular path)
1.
2.
3.
4.