A particle with a mass of 4.2 x 10-20 kg is oscillating with simple harmonic motion with a period of 1.9 x 10-5 s and a maximum speed of 3.1 x 103 m/s. Calculate (b) the maximum displacement of the particle.

The amplitude of a system moving in simple harmonic motion is doubled. Determine the change in (a) the total energy, (b) the maximum speed, (c) the maximum acceleration, and (d) the period.

The functionx = (8.9 m) cos[(5πrad/s)t + π/3 rad]gives the simple harmonic motion of a body. At t = 9.7 s, what are the (a) displacement, (b) velocity, (c) acceleration, and (d) phase of the motion? Also, what are the (e) frequency and (f) period of the motion?

Two particles oscillate in simple harmonic motion along a common straight-line segment of length 1.1 m. Each particle has a period of 1.4s, but they differ in phase by T/7 rad. (a) How far apart are they 0.31 s after the lagging particle leaves one end of the path? (b) Are they then moving in the same direction, toward each other, or away from each other? (a) Number (b) i Units

The function x = (2.2 m) cos[(3rad/s)t + a/3 rad] gives the simple harmonic motion of a body. At t = 5.1 s, what are the (a) displacement, (b) velocity, (c) acceleration, and (d) phase of the motion? Also, what are the (e) frequency and (f) period of the motion? (a) Number Units (b) Number i Units (c) Number Units (d) Number Units (e) Number i Units (f) Number i Units

A particle is executing simple harmonic motion according to the equation x(t)=Acoswt. (a) What is the maximum speed of the particle? (b) What is the magnitude of the maximum acceleration of the particle? (c) At what positions is the speed of the particle half the maximum speed? (d) At what positions is the magnitude of the acceleration of the particle half the magnitude of the maximum acceleration?

Two particles oscillate in simple harmonic motion with amplitude A about the centre of a common straight line of length 2A. Each particle has a period of 1.5 s, and their phase constants differ by 4 rad. (a) How far apart are the particles (in terms of A) 0.5 s after the lagging particle leaves one end of the path? Enter the exact answer in terms of A. ab sin (a) Ω

A particle with a mass of 3.4 x 1020 kg is oscillating with simple harmonic motion with a period of 3.5 × 10° s and a maximum speed of 4.3 x 10° m/s. Calculate (a) the angular frequency and (b) the maximum displacement of the particle. (a) Number Units (b) Number Units

Two particles oscillate in simple harmonic motion along a common straight-line segment of length 0.86 m. Each particle has a period of 3.8 s, but they differ in phase by π/6 rad. (a) How far apart are they 1.4 s after the lagging particle leaves one end of the path? (b) Are they then moving in the same direction, toward each other, or away from each other?

Two particles oscillate in simple harmonic motion along a common straight-line segment of length 1.7 m. Each particle has a period of 3.5 s, but they differ in phase by π/6 rad. (a) How far apart are they 1.0 s after the lagging particle leaves one end of the path? (b) Are they then moving in the same direction, toward each other, or away from each other? (a) Number (b) 4 Units