The maximum velocity at the lowest point, so that the string just slack at the highest point in a vertical circle of radius .
A simple pendulum oscillates in a vertical plane. When it passes through the mean position, the tension in the string is 3 times the weight of the pendulum bob. What is the maximum displacement of the pendulum of the string with respect to the vertical.
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 body is suspended from a smooth horizontal nail by a string of length 0.25 metre. What minimum horizontal velocity should be given to it in the lowest position so that it may move in a complete vertical circle with the nail at the centre ?
A mass m is revolving in a vertical circle at the end of a string of length 20 cm. By how much times does the tension of the string at the lowest point exceed the tension at the topmost point –
A particle is kept at rest at the top of a sphere of diameter 42 m. When disturbed slightly, it slides down. At what height ‘h’ from the bottom, the particle will leave the sphere.
A stone of 1 kg tied up with 10/3 metre long string rotated in a vertical circle. If the ratio of maximum & minimum tension in string is 4 then speed of stone at heighest point of circular path will be - (g = 10 m/s2)
A child is swinging a swing, Minimum and maximum heights of swing from earth's surface are 0.75 m and 2 m respectively. The maximum velocity of this swing 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 particle of mass m begins to slide down a fixed smooth sphere from the top. What is its tangential acceleration when it breaks off the sphere ?
A body of mass 1 kg is moving in a vertical circular path of radius 1m. The difference between the kinetic energies at its highest and lowest position is
A particle moves in a circle of radius 5 cm with constant speed and time period 0.2 πs. The acceleraiton of the particle is :
A car of mass 1000 kg negotiates a banked curve of radius 90 m on a frictionless road. If the banking angle is 45º, the speed of the car is :
Two stones of masses m and 2 m are whirled in horizontal circles the heavier one in radius r/2 and the lighter one in radius r. The tangential speed of lighter stone is n times that of the value of heavier stone when they experience same centripetal forces. The value of n is :
What is the minimum velocity with which a body of mass m must enter a vertical loop of radius R so that it can complete the loop ?
A particle of mass 10 g moves along a circle of radius 6.4 cm with a constant tangential acceleration. What is the magnitude of this acceleration if the kinetic energy of the particle becomes equal to
8 × 10–4 J by the end of the second revolution after the beginning of the motion ?
A mass m is attached to a thin wire and whirled in a vertical circle. The wire is most likely to break when:
A block of mass 10 kg in contact against the inner wall of a hollow cylindrical drum of radius 1m. The coefficient of friction between the block and the inner wall of the cylinder is 0.1. The minimum angular velocity needed for the cylinder to keep the block stationary when the cylinder is vertical and rotating about its axis, will be (g = 10 m/s2)
Two particles A and B are moving in uniform circular motion in concentric circles of radii rA and rB with speed uA and uB respectively. Their time period of rotation is the same. The ratio of angular speed of A to that of B will be :
