Answer to Question #129657 in Physics for Hassan

Question

A physical pendulum is composed by a thin uniform rod of mass Me and length, and by a uniform sphere of mass MyaM, and radius R-BL, whose centre coincides with the centre-of-mass of the rod. The pendulum suspension point is at the upper end of the rod. (a) Find the value of the coefficient such that the frequency of small oscillations of the pendulum becomes independent of the mass ratio a. (b) Assume that the pendulum is initially at rest, with the rod axls along the vertically) axis. A bullet with mass m and velocity v traveling along the x direction strikes the pendulum at the lower end of the rod. Assume that the collision is elastic and that mecMe My so that the bullet velocity immediately after the collision can be approximated by V. Find an expression for the angular velocity of the pendulum Immediately after the collision.

Answer 1

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