CAN SOMEONE HELP ME SOLVE THE 5TH QUESTION THANKS A hoop of radius K and mass M

Question

CAN SOMEONE HELP ME SOLVE THE 5TH QUESTION THANKS

A hoop of radius K and mass M is bring from a rail and displaced from equilibrium by a small angle theta Starting from Newton's laws,. find the period of the motion An object of mass m1 is sliding on a frictionless. Horizontal surface. It is attached to a spring of a spring of force constant. A second block of mass m2 is on top the first block. If the amplitude of the oscillation is A. what is the minimum value of the coefficient of static friction mu such that the top Week will not slip on the bottom block? Two pendulums have the same length l. and total mass m. Pendulum A is a very small Kill swinging at the end of a massless bar. Pendulum B has half the mass in the uniform her and half the mass in the hall Which has the larger period? A small particle of mass m slides without friction is a spherical bowl of radius r. (a) Show that the motion of the particle is the same as if it were attached to a suing of length r. the figure shows a particle of mass m, that is displaced by a small distance where j, is much smaller than r A second particle of mass m. is displaced in the opposite direction a distance where x2 is also much smaller than r. If the particles are released at the same time, where do they meet? the figure shows a solid cylinder of mass M and radius R attached to a horizontal massless spring The cylinder can roil without slipping along the horizontal surface IK- force constant the spring is k the system is released from rest at position where the spring is stretched by amount J. lind the translation kinetic energy and the rotational kinetic energy of the cylinder as il pusses through llv equilibrium position Show that the center of mass of the cylinder executes simple harmonic motion and final the period.

Explanation / Answer

PURE ROLLING

APPLYING ENERGY CONSERVATION

0.5kD2=(3/4)MV2

v=[(2/3)K/M]D

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