Mechanics | Relativity Answers

an inclined plane making an angle of 25 degree with the horizontal has a pulley at its top. A 30kg block on plane is connected to a freely hanging 20kg block by means of a string passing over the pulley. Compute the distance the 20kg block will fall in 2 second starting from rest. Neglect the friction.

A particle of mass 2 kg is moving under the influence of a force F(x) = (3/vx) N. If the velocity of the particle at x = 2 m is v = 6 m/s, what is its speed at x = 7 m

Discuss analytically the theory of forced vibrations in the presence of damping force

A force of 2 pounds stretches a spring 1 foot. A mass weighing 3.2 pounds is attached to the

spring, and the system is then immersed in a medium that offers a damping force that is

numerically equal to 0.4 times the instantaneous velocity. (a) Find the equation of motion

if the mass is initially released from rest from a point 1 foot above the equilibrium position.

(b) Determine the position and velocity of the mass at t = pi/2 sec? (c) Find the first time at

which the mass passes through the equilibrium position heading upward.

A U-tube contains some mercury of a relative density 13.6

(a) Kerosene of relative density 0.8 is poured into one arm of the U-tube until the height of the mercury in that arm is reduced by 1.5cm. Calculate the height of kerosene?

(b) Water is now poured into the arm of the U-tube until the level of the mercury in both arms are again the same. Calculate the height of water column.

The diagram shows the two vertical forces acting on a helicopter hovering at a constant height.

In this situation the two forces are equal in magnitude.

The mass of the helicopter is 1500 kg.

a) Calculate the magnitude of the lift force.

A sky jumper speeds down a slope and exits the ski track in a horizontal direction with a velocity of 25 m/s where the landing incline falls off with a slope of 33°. Solve the following:

A. What is the half time of flight of the sky jumper?

B. What is the range of the sky jumper when it lands?

A bus slows down with a constant acceleration. It's speed goes from 24 m/s to 16 m/s as it travels 50 m.

a) What far does it continue to roll before stopping?

b) How long does it take for it to stop from the moment where the velocity is 24 m/s?

Calculate the power output in watts and horsepower of a shot-- putter who takes 1.20s to accelerate the 7.27kg shot from rest to 14.0m/s, while raising it 0.800m. (5 marks)