Question

A butcher throws a cut of beef on spring scales which oscillates about the equilibrium position with a period of t = 0.500 s. The amplitude of the vibration is a = 2.00 cm (path length 4.00 cm). Find:



a. Frequency



b. The maximum acceleration



c. The maximum velocity



d. The acceleration when the displacement is 1.00 cm



e. The velocity when the displacement is 1.00 cm f. The equation of motion as a function of time if the displacement is a at t = 0

Answer 1

Since block is moving down the plane with constant speed

So here friction force on the block is counter balanced by weight along the incline plane while it is sliding down

now when block is pushed up the plane with initial speed "v"

then it has two forces along the incline plane opposite to the velocity

1. friction force

2. component of weight along the incline

so net force along the incline opposite to velocity

deceleration of the block is given by

now we have

so above is the distance it will travel along the incline before