A rod of length 1m and mass `0.5 kg` is fixed at one end is initially hanging vertical. The other end is now raised until it makes an angle `60^(@)` with the vertical. How much work is required ?

A rod of length 1.0 m and mass 0.5 kg fixed at ond is initially hanging vertical. The other end is now raised until it makes an angle 60^@ with the vertical. How much work is required?

A uniform rod of length L and mass M is pivoted freely at one end and placed in vertical position. a. What is angular acceleration of the rod when it is at ann angle theta with the vertical? b. What is the tangential linear acceleration of the free end when the rod is horizontal?

A uniform rod of mass M & length L is hinged about its one end as shown. Initially it is held vartical and then allowed to rotate, the angular velocity of rod when it makes an angle of 37^(@) with the vertical is

A body of mass m hangs at one end of a string of length l , the other end of which is fixed. It is given a horizontal velocity so that the string would just reach where it makes an angle of 60^(@) with the vertical. The tension in the string at mean position is

A body of mass m hangs at one end of a string of lenth l, the other end of which is fixed. It is given a horizontal velocity so that the string would just reach where it makes an angle of 60^(@) with the vertical. The tension in the string at bottommost point position is

A body of mass m hangs at one end of a string of length l, the other and of which is fixed . It is given a horizontal velocity so that the string would just reach where it makes an angle of 30^@ with the vertical . The tension in the string at mean position is

In the figure shown one end of a light spring of natural length l_(0)=sqrt(5/8)m(~~0.8m) is fixed at point D and other end is attached to the centre B of a uniform rod AF of length l_(0)//sqrt(3) and mass 10kg. The rod is free to rotate in a vertical plane about a fixed horizontal axis passing through the end A of the rod. The rod is held at rest in horizontal position and the spring is in relaxed state. It is found that, when the rod is released to move it makes an angle of 60^(@) with the horizontal when it comes to rest for the first time. Find the (a) the maximum elogation in the spring . (Approximately) (b) the spring constant. (Approximately)

A bob of mass 2 kg hangs from a string of length 5 m . It swings from its rest position to one of the sides so that the string makes an angle of 60^(@) with the vertical Calculate the gain in potential energy of the bob .