Mechanics | Relativity Answers

The tape in a videotape cassette has a total length 264 m and can play for 1.8 h. As the tape starts to play, the full reel has an outer radius of 46 mm and an inner radius of 12 mm. At some point during the play, both reels will have the same angular speed. What is this common angular speed? Answer in units of rad/s.

A body with the mass m 5 kg lies on an inclined plane and is connected to a solid cylinder with a mass M 10 kg by a massless rope (see sketch). The rope is wound on the solid cylinder. The inclined plane has a static friction of 0.12 and a sliding friction of 0.06. The body is at rest at the beginning.

a) At what critical angle can the body overcome static friction?

b) At the critical angle the body of mass m begins to slide down the plane. Its acceleration is slowed down by the rolling of the full cylinder. How big is the acceleration of the body and how big is the tensile force in the rope?

Kindly help me with this question

A man makes three rounds around a square path in 40sec. The length of each side of the square path is 10m. Find average speed and average velocity. Calculate the same thing if he makes 3.5 rounds

A particle travels with acceleration ~a = 2e−t ˆi + 5 cost jˆ − 3 sin tˆk.

If the initial (i.e. at time t=0) position of the particle is located at (1, −3, 2) and its initial velocity is 4ˆi − 3jˆ + 2ˆk, find its displacement at time t

Consider a particle of mass m on x-y plane.The particle is moved by a force F~ =xy ˆi + y jˆ fromthe origin (0, 0) to a point (1, 1) along a straight

Line joining the two pints. Find the workdone

By the force.

Find the values of p, q and r such that the force

F~ = p y2z3 ˆi − q xyz3jˆ + r xy2z2 ˆk is a conservative force. What is the value of the potential?

Find the sum of the following pairs of vectors using graph sheet

A.a(2,5) and b(4,6)
B.a(3,2) and b(2,-4)
C.a(1,3) and b(-2,3)

A 9900 N small car is moved by a 650N force. If the car starts from rest, then how fast is it traveling after 111 m? 

A boat propelled so as to travel with speed 0.50m/s in still water, move directly across a river that is 60m wide. The river flows with speed of 0.30m/s. At what angel does the boat point to?

A body of mass 50g falls from a height of 30cm on to a horizontal surface and rebounds to a height of 30cm. If the time of collision is 0.05s. Calculate the average force experienced by the body during the impact, the kinetic energy lost by the body on impact and the coefficient of restitution between the two bodies