The sphere at `A` is given a downward velocity `v_(0)` of magnitude `5m//s` and swings in a vertical plane at the end of a rope of length `l=2m` attached to a support at `O` . Determine the angle `theta` at which the rope will break, knowing that it can withstand a maximum tension equal to twice the weight of the sphere.

The sphere at A is given a downward velocity v_(0) of magnitude 5m//s and swings in a vertical plane at the end of a rope of length l=2m attached to a support at O . Determine the angle theta at which the rope will breack, knowing that it can withstant a maximum tension equal to twich the weight of the sphere.

The sphere at P is given a downward velocity v_(0) and swings in a vertical plane at the end of a rope of l=1m attached to a support at O . The rope breaks at angle 30^(@) from horizontal , knowing that it can withstand a maximum tension equal to three times the weight of the sphere. Then the value of v_(0) will be : (g=pi ^(2) m//s^(2))

The sphere at P is given a down ward velocity v_(0) and swings in a vertical plane at the end of a rope of l = 1m attached to a support at O . The rope breaks at angle 30^@ from horizontal, knowing that it can withstand a maximum tension equal to four times the weight of the sphere. then the value of v_(0) will be (g = 10 m//s^(2)) . .

A small sphere is given vertical velocity of magnitude v_0=5ms^-1 and it swings in a vertical plane about the end of a massless string. The angle theta with the vertical at which string will break, knowing that it can withstand a maximum tension equal to twice the weight of the sphere, is

A small body of mass m = 0.1 kg swings in a vertical circle at the end of a chord of length 1 m. Its speed is 2 m/s when the chord makes an angle theta = 30^(@) with the vertical. Find the tension in the chord.

A bob tied to the end of a string of length 2m, other end of which is fixed at a point in a vertical wall at a point O. The bob is imparted a vertical downward velocity of 5 m//s when the string is horizontal and swings in a vertical plane. Find the angular displacement of the bob from its initial position, when the string breaks. Given that the tensile strength of the string is twice the weight of the bob. Take g=10 m//s^(2)

A stone is whirled in a vertical circle at the end of a rope of length 0.5m . The velocities of the stone at lowest and highest points to just complete the circle are [Take ,g =9.8ms^(-2)]

A stone of mass 0.5kg is attached to a string of length 2m and is whirled in a horizontal circle. If the string can withstand a tension of 9N the maximum velcoity with which the stone can be whirled is .

A body of mass 2 kg attached at one end of light string rotated along a vertical circle of radius 2 m . If the string can withstand a maximum tension of 140.6 N , the maximum speed with which the stone can be rotated is