A uniform solid sphere of radius 2.0 m and mass 10.0 kg is free to rotate about an axis through its center of mass. What is the minimum force magnitude that can be applied to a point on the surface to give a torque of 40.0 Nm to the sphere? Group of answer choices 40 N 10 N 20 N 0 N 5 N

Two thin rectangular sheets (0.20 m x 0.47 m) are identical. In the first sheet the axis of rotation lies along the 0.20-m side, and in the second it lies along the 0.47-m side. The same torque is applied to each sheet. The first sheet, starting from rest, reaches its final angular velocity in 2.3 s. How long does it take for the second sheet, starting from rest, to reach the same angular velocity? Number i Units

A rigid object rotates in a counterclockwise sense around a fixed axis. Each of the following pairs of quantities represents an initial angular position and a final angular position of the rigid object. Which of the sets can only occur if the rigid object rotates through more than 180°? 3 rad, 6 rad –1 rad, 1 rad 1 rad, 5 rad Non

A capstan is a device used on old sailing ships to raise the anchor. A sailor pushes the long lever, turning the capstan and winding up the anchor rope. If the capstan turns at a constant speed, the net torque on it, is zero. The rope tension due to the weight of the anchor is 1500 N. The distance from the axis to the point on the lever where the sailor pushes is seven times the radius of the capstan around which the rope is wound.With what force must the sailor push in order to turn the capstan at a constant speed, meaning that the net torque on the capstan is zero?

When you hold an ball by only your forearm, the main lifting muscle in your arm is the biceps. Suppose the mass of a forearm with hand is 1.80 kg. The biceps is connected to the forearm a distance of 2.50 cm from the elbow, and it holds a 44.5 N (about 10 lbs) ball at the end of the forearm at distance of 35.0 cm from the elbow. What is the magnitude of the torque about the elbow by the ball, in N·m? Use g = 10.0 m/s2. Your answer needs to have 3 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.

A door is 0.91 m wide, 2.0 m high, and 4.0 cm thick.  A "door closer" is attached to the door and the top of the door frame.  When the door is open and at rest, the door closer exerts a torque of 8.2 Nm.  What is the least force you need to apply to the door to keep it open?

Two uniform solid spheres have the same mass of 2.85 kg, but one has a radius of 0.236 m while the other has a radius of 0.894 m. Each can rotate about an axis through its center. (a) What is the magnitude t of the torque required to bring the smaller sphere from rest to an angular speed of 317 rad/s in 15.5 s? N. m (b) What is the magnitude F of the force that must be applied tangentially at the sphere's equator to provide that torque? N (c) What is the corresponding value of t for the larger sphere? N. m

Calculate the net torque about this axis due to the three forces shown in the figure if the magnitudes of the forces are F1 = 27.0 N, F2 = 16.7 N, and F3 = 14.9 N. The plate and all forces are in the plane of the page. Take positive torques to be counterclockwise.

Two children hang by their hands from the same tree branch. The branch is straight, and grows out from the tree trunk at an angle of 27.0° above the horizontal. One child, with a mass of 43.0 kg, is hanging 1.25 m along the branch from the tree trunk. The other child, with a mass of 32.0 kg, is hanging 2.10 m from the tree trunk. What is the magnitude of the net torque exerted on the branch by the children? Assume that the axis is located where the branch joins the tree trunk and is perpendicular to the plane formed by the branch and the trunk.

A playground merry-go-round, made in the shape of a solid disk, has a diameter of 2.50 m and a mass of 350.0 kg. Two children, each of mass 30.0 kg, sit on opposite sides at the edge of the platform. Approximate the children as point masses. What torque is required to bring the merry-go-round from rest to 28.0 rev/min in 23.0 s?