Block M, with block m on top, executes SHM on frictionless surface. Find maximum amplitude for which m remains in place.

A block of mass M= 10 kg is on a frictionless horizontal surface. A small block whose mass is m= 1.0 kg is placed on the larger block. The coefficient of friction between the two blocks is u= .40. The two blocks execute SHM with a period T= 1.5 sec.
Find Xm, the maximum amplitude possible, for which the small block does not slide on the surface of the larger block. See ATTACHMENT for diagram.

Physics required:
A. The general equation giving location x(t) for an object executing SHM is:
(1) x = Xm cos(w t + Qo) in which Xm is the amplitude, Qo is the initial phase angle in radians, and w is the angular frequency in rad/sec.
B. In one period of time, T, the angle changes by '2 Pi' radians, therefore the angular frequency w, in terms of the ...

A spring with negligible mass, and force constant k= 60 nt/m, has one end fixed, and the other end attached to a stationary block of mass M= 2.0 kg on a horizontal, frictionless table. At time t=0, a ball of mass m= .25 kg, with horizontal speed of Vb= 50 m/sec to the right before impact, hits the block and bounces off, then

A large block P executes horizontal simple harmonic motion as it slides across a frictionless surface with a frequency f. Block B rests on top of block P and the static coefficient of static friction between the two is mu_s. What maximumamplitude of oscillation can the system have if the upper block is not to slip?
I am no

On a frictionless table, a spring has one end fixed and the other attached to block M. Block m, is in contact but not attached to M.
The spring, originally unstressed was compressed from 0 to -S. There the spring system was released from rest. See ATTACHMENT for a diagram with parameters and basic physics.
Block M= 2.0 kg, blo

SEE ATTACHMENT #1 for diagram showing parameters, and general equations of SHM.
Driven by a spring withforce constant k, on a horizontal frictionless table, two joined masses, each mass M, is executing SHM between xm and -xm. Known parameter values are: M= 2 kg, k= 64 nt/m, xm= .25 m,
PART a. Find the period, and max

A loudspeaker diaphragm is oscillating in simple harmonic motion with a frequency of 461 Hz and a maximum displacement of 0.57 mm. What are the
(a) angular frequency,
(b) maximum speed, and
(c) magnitude of the maximum acceleration?
A 7.66 kg object on a horizontal frictionless surface is attached to a spring with k = 2

A 4.0 kg toboggan rests on a frictionless icy surface, and a 2.0 kg block rests
on top of the toboggan. The coefficient of static friction µs between the block
and the surface of the toboggan is 0.58, whereas the kinetic friction
16.T op
coefficient is 0.48. The block is pulled by a horizontal force of 30 N as shown.
a. Ca

A block of mass M on a horizontal frictionless table is connected to a spring (constant k). The block is at the left and attached to an horizontal spring , and the right end of the spring is itself attached to the wall. The block is set in motion so that it oscillates about its equilibrium point with a certain amplitude Ao. The

Two blocks of masses M and 3M are placed on a horizontal, frictionlesssurface. A light spring is attached to one of them, and the blocks are pushed together with the spring between them (Fig. P9.4). A cord initially holding the blocks together is burned; after this, the block of mass 3M moves to the right with a speed of 1.50 m

A large globe, with a radius of about 5 m, was built in Italy between 1982 and 1987. Imagine that such a globe has a radius R and a frictionlesssurface. A small block of mass m slides starts from rest at the very top of the globe and slides along the surface of the globe. The block leaves the surface of the globe when it reache