Mechanics | Relativity Answers

The equation s = ut + 1/2 at² relates the displacement s, initial velocity u, time t and acceleration a, of a particle under uniform accelerated motion. Show that the equation is homogeneous. Is it consistent and physically correct?

A pulley weighing 1000 N is supported on a horizontal shaft of negligible weight between two bearings, A and B, 5 metres apart. The pulley is fixed at a distance of 2 m from the bearing A. The mass centre of the polley is 20 mm from the axis of the shaft. Determine the maximum pressure on the two bearings when the shaft rotates at 200 r.p.m.
Neglect the effect of deflection of the axis of the shaft.

Explain poission bracket condition for canonical transformation.

Write notes on gravitational acceleration

Arnold and Juju are 140 m apart. Arnold can run at a speed of 8 m/s while Juju can run at a speed of 6m/s. If the two boys run at the same instant, straight towards each other, when and where will they meet?

Calculate the kinetic energy required to drive a fluid of density 0.004kg/m³ through a vertical pipe of height 100m maintained at a pressure of 0.02N/m² and 0.08N/m² at each end respectively 

A bullet is fired vertically into the air from the top of building and reaches a height of 1600m. It then falls to the ground below.The total time of flight is 38.0 s.

i) Determine the speed at which the bullet leaves the gun

ii) Determine from what height above the ground is the bullet fired

Determine the speed of the bullet when it hits the ground

Sketch a velocity versus time graph for the motion of the bullet

A mass of 60kg supported by a chain 13m long, is pulled a perpendicular distance of 5m from the original line of support. Calculate the horizontal force required?