A ball with mass is on a ramp as illustrated below:

Find the magnitude of the ball's normal force.

A mass is suspended by two cables. What is the magnitude of the tension in the left cable?

A block of mass moves down an inclined plane of angle with a constant velocity as shown below. The coefficient of friction between the block and the inclined plane is given by .

What is the value of in terms of , , , and ?

If three locomotives are pulling a train, how much force does each locomotive need to apply to accelerate the train at from rest?

Two forces are exerted on the center of an object. What angle between the two forces would provide the largest resultant force?

Jennifer and Jessica are lifting a heavy box. If the box has a mass of , and Jennifer is applying a force of , determine the force Jessica is applying if the box is accelerating upward at .

A bucket of water is held up by two ropes tied around it. Rope 1 is inclined at an angle from vertical to the right of the bucket, and Rope 2 is inclined at from vertical to the left. Rope 1 has a tension of 10N on it. What is the tension in Rope 2?

A , long golf club swings and hits a ball across grass before it comes to a stop. The coefficient of kinetic friction between ball and grass is . What is the angular velocity of the golf club swing?

A woman is standing on a rigid plastic sheet. Underneath her, there is an adjustable platform. The platform is lifted at one end until it reaches an angle with the horizontal of , at which point, the woman and the plastic sheet slide off. What is the coefficient of friction between the sheet and the platform?

Consider the following system:

If the mass accelerates down the plane at a rate of and the angle , what is the coefficient of kinetic friction between the mass and slope?