Question

1) A 12.3 kg particle is undergoing simple harmonic motion with an amplitude of 1.86 mm. The maximum acceleration experienced by the particle is 7.93 km/s2. (a) Find the period of the motion. (b) What is the maximum speed of the particle? (c) Calculate the total mechanical energy of this simple harmonic oscillator.

2) The orbit of the Moon around the Earth as projected along a diameter can be viewed as simple harmonic motion. Calculate the effective force constant k for this motion

3) A block of mass M, at rest on a horizontal, frictionless table, is attached to a rigid support by a spring of force constant k. A bullet of mass m and speed v strikes the block as shown in Fig. 17.33. The bullet remains embedded in the block. Determine the amplitude of the resulting simple harmonic motion in terms of m, M, v, and k.

Answer 1

Firstly calculate the angular frequency (w)

Then we can find time period, Vmax and Total Mechanical energy

3 3 2兀 277 Lw 3 max 3.8 ms