A physical pendulum performs small oscillations about the horizontal axis with frequency `omega_(1)=15.0 s^(-1)`. When a small body of mass `m=50 g` is fixed to the pendulum at a distance `l=20 cm` below the axis, the oscillation frequency becomes equal to `omega_(2)=10.0 s^(-1)`. Find the moment of inertia of the pendulum relative to the oscillation axis.

Two physical pendulums perform small oscillations about the same horizontal axis with frequencies omega_(1) and omega_(2) . Their moments of inertia relative to the given axis are equal to I_(1) and I_(2) respectively. In a state of stable equilibium the pendulums were fastened rigifly together. What will be the frequency of small oscillations of the compound pendulum ?

A body of mass 0.2 kg oscillates about a horizental axis at a distance 20 cm from its centre ofr gravity. Ifd the length of the equivalent simple pendulem be 0.35 m, find the moment of inertia about the axis of suspension.

A body of mass 200 g oscillates about a horizontal axis at a distance of 20 cm from its centre of gravity . If the length of the equivalent simple pendulum is 35cm , find its moment of inertia about the point of suspension.

A body of mass 200 g oscillates about a horizontal axis at a distance of 20 cm from its centre of gravity . If the length of the equivalent simple pendulum is 35cm , find its moment of inertia about the point of suspension.

A simple pendulum of length 1m is oscillated at a place where g = 9.8 m//s^(2) . Find the maximum velocity of the bob of the simple pendulum if the amplitude of oscillation is 3 cm.

A particle performs harmonic oscillations along the x axis about the equilibrium position x=0 . The oscillation frequency is omega=4.00s^(-1) . At a certain moment of time the particle has a coordinate x_(0)=25.0 cm and its velocity is equal to v_(x0)=100cm//s . Find the coordinate x and the velocity v_(x) of the particle t=2.40s after that moment.

A uniform rod of length l performs small oscillations about the horizontal axis OO^(') perpendicular to the rod and passing through one of its points. Find the distance the centre of inertia of the rod and the axis OO^(') at which the oscillation period is the shortest. What is it equal to ?