Mechanics | Relativity Answers

Suppose we experiment with an Atwood Machine consisting of two masses m

and 2m connected by an inextensible non-slip string running over a pulley of

radius a and mass 4m, as shown below.

(a) Determine the total kinetic energy of the system. (6)

(b) Find the gravitational potential energy of the system.

A harmonic oscillator has a mass of 0.20kg and unknown spring constant,if the period is T=20g find k

A harmonic oscillator has a mass of 0•20kg,an unknown spring constant, if the period is T=20. Find k

Matt is watching a jet take off when he hears the engine roar with an intensity of 100 W/m^2. At what minimum distance should Matt be, in order for him to not hear the jet?

An inclined plane is 100 m long and at an angle of 20 degrees * 10 * k * epsilon horizontal. The A*Lambda of the slope is two. Calculate: a) the effort required to push a 7200 N block up the slope b) the ideal mechanical advantage

c) the efficiency of the slope.

An inclined plane is 100 m long and at an angle of 20 degrees to the

horizontal. The AMA of the slope is two. Calculate:

a) the effort required to push a 72 underline C N block up the slope b) the ideal mechanical advantage c) the efficiency of the slope.

A watervpump lifts water from a level 10 m below the ground. Water is pumped at a rate of 30kg/minute with negligible velocity and friction. Calculate the minimum horsepower the engine should have for this? Use g=9.8 m/s^2

Determine the curl of F which is (∇ × F ) at the point (2, 0, 3) given that

F = ze2xy i + 2xz cosy j+ (x + 2y)k

We have a horizontal spring with a mass attached oscillating with a maximum displacement of A on either side. At which intermediate displacement(s) the kinetic energy would equal the potential energy

Find the unit tangent vector, the unit normal vector, the curvature and the radius of curvature of the circle x= a cos theta, y= a sin theta, z=0 at point with parameter theta.