Question

with good explanation.

1. Twad of sticky clay of mass m and velocity vector v is fired at a solid cylinder of mass M and radius R (see figure). The cylinder is initially at rest and is mounted on a fixed horizontal axle that runs through its center of mass. The line of motion of the projectile is perpendicular to the axle and at a distance d < R from the center (a) Find the angular speed of the system just after the clay strikes and sticks to the surface of the cylinder. (Use the following as necessary: m, M, R, d, and v/ for the magnitude of vector v (b) is the mechanical energy of the clay-cylinder system constant in this processi

Answer 1

seletton - moment of Inertia al cylinder and Wad of mass in which sticks on the glinder about the axel of cylinder MR?+mRz? - I = = (á M+m) R -Mam) R2 = (mtem)R? so from the conservation of angular momentams mvid = ID m vid - w = m+am) R² 2 or w = am Vid am vid (M+ am) R2 (6) As the collision is perfectly inelastic is the mechanical energy of the clay - celinder sepstem do not remain constant in this process, No, mechanical energy do not remain constant,