The linear density of a vibrating string is 1.3 × 10−4 kg m−1. A transverse wave is
propagating on the string and is described by the equation
y (x, t) = 0.021 sin (x − 30t)
where x and y are in metres and t is in seconds. Calculate the tension in the string.
A sinusoidal wave is described by
y (x, t) = 2.0 sin (2.11x − 3.62t) cm
where x is the position along the wave propagation. Determine the amplitude, wave
number, wavelength, frequency and velocity of the wave.
A simple harmonic oscillator has an amplitude of 0.17 m and a period of 0.84 s.
Determine the frequency, and the angular frequency of the motion. Write expressions for
the time dependence of displacement, velocity and acceleration. What are the maximum
values of the velocity and acceleration?
a 6 kg cart on a level surface is pulled at a constant velocity of 2.0 m/s by a constant force of 10 N. What is the acceleration and what is the magnitude and diraction of the friction force?
If a man pushes on a crate with 10 newtons of force and Fred the goat pushes with him with another 10 newtons of force, what is the net force of Fred and the man on the crate?