Exam 9: Rotation of Rigid Bodies

The angular velocity of a 755-g wheel 15.0 cm in diameter is given by the equation . (a)Through how many radians does the wheel turn during the first 2.00 s of its motion? (b)What is the angular acceleration (in rad/s²)of the wheel at the end of the first 2.00 s of its motion?

A futuristic design for a car is to have a large solid disk-shaped flywheel within the car storing kinetic energy.The uniform flywheel has mass 370 kg with a radius of 0.500 m and can rotate up to Assuming all of this stored kinetic energy could be transferred to the linear velocity of the car,find the maximum attainable speed of the car.

A machinist turns the power on to a grinding wheel,which is at rest at time .The wheel accelerates uniformly for 10 s and reaches the operating angular velocity of The wheel is run at that angular velocity for 37 s and then power is shut off.The wheel decelerates uniformly at until the wheel stops.In this situation,the time interval of angular deceleration (slowing down)is closest to

A slender uniform rod 100.00 cm long is used as a meter stick.Two parallel axes that are perpendicular to the rod are considered.The first axis passes through the 50-cm mark and the second axis passes through the 30-cm mark.What is the ratio of the moment of inertia through the second axis to the moment of inertia through the first axis?

In the figure,point P is at rest when it is on the x-axis.The time t,when P returns to the original position on the x-axis,is closest to

A piece of thin uniform wire of mass m and length 3b is bent into an equilateral triangle.Find the moment of inertia of the wire triangle about an axis perpendicular to the plane of the triangle and passing through one of its vertices.