Find the period of small osciallations in a vertical plane performed by a small ball of mass m=50g fixed at the middle of a thin horizontal string of length l=1m and tensioned with a constant force T = 100N

Find the period of small oscillations in a vertical plane performed by a ball of mass m=40g fixed at the middle of a horizontallly stretched string l=1.0m in length. The tension of the string is assumed to be constant and equal to F=10N .

Find the frequency of small oscillations of thin uniform vertical rod of mass m and length l hinged at the point O.

A square plate of mass M and side length L is hinged at one of its vertex (A) and is free to rotate about it. Find the time period of small oscillations if (a) the plate performs oscillations in the vertical plane of the figure. (Axis is perpendicular to figure.) (b) the plate performs oscillations about a horizontal axis passing through A lying in the plane of the figure.

A partical of mass m is attached to a massless string of length l and is oscillating in a vrtical plane with the other end of the string fixed to a rigid support. The tension in the string at a certain instant is T=kmg .

If the angular frequency of small oscillations of a thin uniform vertical rod of mass m and length l hinged at the point O (Fig.) is sqrt((n)/(l)) , then find n . The force constant for each spring is K//2 and take K = (2mg)/(l) . The springs are of negiligible mass. (g = 10 m//s^(2))

If the angular frequency of small oscillations of a thin uniform vertical rod of mass m and length l hinged at the point O (Fig.) is sqrt((n)/(l)) , then find n . The force constant for each spring is K//2 and take K = (2mg)/(l) . The springs are of negiligible mass. (g = 10 m//s^(2))

A uniform rod of mass m and length l is suspended through a light wire of length l and torsional constant k as shown in figure. Find the time perid iof the system makes a. small oscillations in the vertical plane about the suspension point and b. angular oscillations in the horizontal plane about the centre of the rod.

Find the angular frequency of the small osciallations of the thin sphere of mass M constaining ideal fluid of mass m . The spring has a constant k and cylinder executes pure roling.

An object of mass M is tied to a string of l and revolve in a horizontal circle .If length is reduced by l//2 , then period is