Mechanics | Relativity Answers

Starting from rest at time t = 0, a grindstone has a constant angular acceleration of 3.2rad/s². What is the angular displacement after 2.7 s? If the radius of the grindstone is 0.24 m. Calculate the tangential and radial acceleration.

The angular position of a swinging door is described by θ(t) = (5.00 + 2.00t²) rad. Determine the angular position, angular speed, and angular acceleration of the door at t = 3.0 s.

A fan blade is initially rotating an angular speed of 4.6 rpm. It slows down and eventually comes to rest in a time of 32 seconds after turning through a total of 8.8 revolutions. Find (a) the angular speed in rad/s, (b) the average angular velocity and (c) the average angular acceleration of the fan blade.

2 small weights of M1=5-Kg. and M2=7-Kg. are mounted 4cm apart on a light rod as shown. The moment of inertia of the system
a. if rotated about the axis half between weights.
b. if rotated about the axis 0.50cm left of 7-Kg.mass

*There are 3 equations for the rod figure on our workbook. I don't know what to use.*
1. I center = mL^2/12
2. I end = mL^2/3
3. I = mR^2

Heat can be defined as
Measurement of heat is referred to as

Calculate the Coriolis acceleration of an aeroplane flying along the equator due east at
a speed of 300m s−1.

Obtain an expression for the time period of a satellite orbiting the earth. At what altitude
should a satellite be placed for its orbit to be geosynchronous?

A plane is flying with a constant speed along a straight line at an angle of 60° with the
horizontal. The weight W of the plane is 90, 000 N and its engine provides a thrust T of
120, 000 N in the direction of flight. Two additional forces are exerted on the plane: the lift
force F perpendicular to the plane’s wings, and the force R due to air resistance opposite to
the direction of motion. Draw the free-body diagram showing all forces on the plane.
Determine F and R.

a boy starts at rest and slides down a frictionless slide. the bottom of the track is a height h above the ground. the boy then leaves the track horizontally, striking the ground at a distance d. using energy methods calculate the initial hight H of the boy interms of h and d

You are standing in a moving bus, facing forward, and you suddenly fall forward as the bus comes to an immediate stop. The force acting on you that causes you to fall forward is