A metal rod 6.00 m long is held in a horizontal position. An object with mass 3.40 kg is suspended from a light rope that is attached 4.00 m from the left-hand end of the rod, as shown in the figure below. Take counterclockwise torques to be positive. For an axis at the right-hand end of the rod, what is the torque exerted on the rod by the tension in the rope?

You open a door by applying a force 1/2 m away from the hinge. The torque you applied was 100 N⋅m. However, the angle at which you pushed the door was 30 degrees from the face of the door. What amount of force did you apply? Please answer in units of newtons and your answer should be exact.

A 5.0-kg ball and a 2.0-kg ball are placed at opposite ends of a massless beam so that the system is in equilibrium as shown. What is the value of lengths, x? If the 2 kg mass is taken out, what will be the torque exerted on the 5 kg ball?

Consider a bar, of length 5.5 m, shown in the figure, being acted on by three forces. The magnitudes of the first two forces are 23 N and 28 N, and the first force is acting on the end of the bar at an angle of 54° as shown.  a)What is the torque, in newton-meters, due to F1 on this bar relative to the left end? Use a coordinate system with positive directed out of the screen. b)What is the torque, in newton-meters, due to F2 on this bar relative to the left end, if this force is acting at the midpoint of the bar? Use a coordinate system with positive directed out of the screen. c)What is the magnitude of the force F3, in newtons, if the force is a distance 0.65 m from the left end and the bar is not rotating?

A bar of length 3.00 m is hinged at one end and experiences a force of 8.00 N at the other end. The torque applied is 10.0N⋅m. What must be the angle between the line of force and the extended line of the bar ϕ?

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 48.0 kg, is hanging 1.05 m along the branch from the tree trunk. The other child, with a mass of 27.0 kg, is hanging 2.25 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. Number i The Way Units -12. Kana

For two existing torques, what third force at a given distance from the pivot will balance them? Imagine a meter stick set up as in the figure. It hangs from a central bracket, and two hanging masses can hang from it from each of their brackets. At a third location, a force probe can either pull up or pull down on the stick, depending on what is needed to balance the stick. The mass of the meter stick is 120 g. sketch the situation (drawing r1, r2, r3, F1, F2, and F3) and determine the magnitude (value) and direction (+ or -) of each torque. Don't include the mass of a bracket that would hold the hanging mass in place; assume the mass listed is the entire mass hanging at that point. For each trial, use the principle of equilibrium (where the sum of torques is zero) to calculate the third, unknown force acting at x3

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.

clockwise or 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 41.0 kg, is hanging 1.05 m along the branch from the tree trunk. The other child, with a mass of 31.0 kg, is hanging 2.35 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.