A thin uniform rod of length l is pivoted at its upper end. It is free to swing in a vertical plane. Its time period for oscillation of small amplitude is

Time period of a simple pendulum of length L is T_(1) and time period of a uniform rod of the same length L pivoted about an end and oscillating in a vertical plane is T_(2) . Amplitude of osciallations in both the cases is small. Then T_(1)/T_(2) is

Time period of a simple pendulum of length L is T_(1) and time period of a uniform rod of the same length L pivoted about an end and oscillating in a vertical plane is T_(2) . Amplitude of osciallations in both the cases is small. Then T_(1)/T_(2) is

Time period of a simple pendulum of length 'L' is T_(1) . Time period of a uniform rod of same length 'L' suspended from one end and oscillating in a vertical plane is T_(2) . Amplitude of oscillation is small in both the cases . Them (T_(1))/(T_(2)) is

A uniform rod smoothly pivoted at one of its ends is released from rest. If it swings in vertical plane, the maximum speed of the end P of the rod is. .

A uniform rod smoothly pivoted at one of its ends is released from rest. If it swings in vertical plane, the maximum speed of the end P of the rod is. .

A slender uniform rod of mass M and length l is pivoted at one end so that it can rotate in a vertical plane, Fig. There is negligible friction at the pivot. The free end is held vertically above the pivot and then released. The angular acceleration of the rod when it makes an angle theta with the vertical is