Mechanics | Relativity Answers

The position of a simple harmonic oscillator as a function of time is given by x=4.6cos(7πt/6 + π/8) where t is in second and x is in meter. Find: (i) the frequency (ii) the velocity and acceleration at t=0.

Show that x=Asinwt+Acoswt, satisfies the differential equation md^2x/dt^2 + kx=0

The equation of transverse wave on a rope is
y(x, t) = 7 sin (4.0t − 0.02x)
where y and x are measured in cm and t is expressed in second. Calculate the
maximum speed of a particle on the rope. (5)
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25lb brick falls 4ft what is the force of impact?

A box of mass 75 kg is placed on an inclined plane. When the angle of the plane is
increased to 30º, the box begins to slide downwards. Calculate the coefficient of static
friction between the plane and the box. Draw the free body diagram. Take g=10.0 ms^-2.

A body of mass 2500g moves through acceleration of 8m/s^2 and 2.2 hours. Determine the momentum?

A stone is dropped from a bridge into the water below with a speed of 20m/s. a second stone is thrown vertically downward when the first stone is halfway to the water. If both stones strike the water at the same time, what was the initial velocity of the second stone?

how to get dB value for 31.5 Hz?

For each of the following scenarios, sketch diagrams to show how waves and particles are expected to behave:
a) Rebounding from a plane boundary
b) Passing through a single narrow slit