SHM of a mass on a spring. Given total energy, amplitude and maximum speed, develop x(t), v(t), and a(t), etc.

A mass M attached to an ideal spring with force constant k executes SHM on a horizontal frictionless table. It has a total energy of 1.0 Joule and amplitude .10 m, and its maximum speed when location x= 0, is 1.2 m/sec. a. find k and M and the period T. b. If the initial location of the mass is at x= +Xm, develop x(t), and v( ...continues

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 sli ...continues

SHM of a mass hanging from a spring.

A certain spring with its upper end attached to a ceiling and nothing attached to its lower end has a length s= .6 m. When a mass M= 2.0 kg is attached to hang from its lower end the spring then has a length h= .80 m. See ATTACHMENT for a diagram showing parameters. The mass is raised .15 m above equilibrium point and releas ...continues

After a block and marble collide, the block executes SHM. Develop x(t). Explanation of physics included.

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 ...continues

SHM vertically moving tray with loose cube on top. Given period, find amplitude max., and given amplitude, find minimum period.

A tray is moving with SHM along a vertical y axis. A small aluminum cube is placed on the tray. a. If the period is fixed at T= 1.5 sec, find the maximum amplitude Ym for which the cube remains in contact with the tray. b. If the amplitude is fixed at Ym= .15 m, find the minimum period T for which the cube remains in contact w ...continues

SHM equation given with numerical values, find x, v, and at t=0 and t=.5 T by derivatives.

The x coordinate in meters, of an object which moves on the x axis with SHM is expressed by: x(t) = .12 Sin (5 t + .35) a. At time t= 0, find the initial x coordinate, and the initial magnitude and direction of the velocity and the acceleration. b. At exactly one half a period after t=0, find the x coordinate and the magn ...continues

A sine curve is shown representing x(t) for a certain SHM. Develop x(t), ETC. from information shown.

An object moves on an x axis with amplitude 5.0 cm. ATTACHMENT1 shows a graph of its x coordinate versus time. a. From the graph, by observation, write the number and units as called for in the spaces on the ATTACHMENT1. b. Using the values from part a, write x(t) for this SHM. c. Finding v(t) by derivative dx/dt, find the m ...continues

Work done in joules

A block of mass 5kg is lifted 2 meters in 3 seconds. Compute the work done in joules and in ergs.

Simple pendulum changes length during half of one cycle.

A simple pendulum consists of a small marble suspended from nail #1 by a cord whose length is 12 m. Nail #1 is 6 m below nail #1, so that as the pendulum swings, the cord is caught on nail #2 when the cord is vertical. The marble is pulled a small distance from center and released at rest. see ATTACHMENT for a diagram of the e ...continues

A simple pendulum, a thin rod, and a mass on a spring all have the same period. Compare.

Three objects are constructed as follows: A simple pendulum has a length Ls= 3.4 m, A physical pendulum consisting of a thin, uniform rod of length Lr, and a mass M= 9.4 kg suspended from a spring whose force constant is k. All three objects oscillate with the same period. Find the length Lr of the thin rod and also the for ...continues