A uniformly dense solid cylinder with a mass of 2 kg and a radius of 5 cm at the top of a ramp. What is the maximum angle (in degrees) for the ramp in order for the cylinder to roll without slipping down the ramp? In other words, if the ramp is set at a larger angle the cylinder will roll down the ramp while also slipping/sliding. The coefficient of static friction between the cylinder and the ramp is 0.4.

Write a question about how changing temperature affects the gas inside the sports ball

An engineer designs a roller coaster so that a car travels horizontally for 152 ft, then climbs 137 ft at an angle of 34.0° above the horizontal. it then moves 137 ft at an angle of 48.0° below the horizontal. if we take the initial horizontal motion of the car to be along the +x-axis, what is the car's displacement? (give the magnitude of your answer, in ft, to at least four significant figures and give the direction of your answer in degrees counterclockwise from the +x-axis.)

Most short-period comets do not have randomly oriented orbits because