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Use the principle of virtual displacement to determine the balance configuration of the rigid rod as shown below. In each case, ignore friction and assume that each bar has a weight Q.


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- A 10.0 m long ladder weighing 50.0 N rests against a smooth vertical wall. If the ladder is just on the verge of slipping when it makes a 50.0° angle with the ground find the coefficient of static friction between the ladder and ground. The ladder is in equilibrium. This means that the torque around ANY pivot point must be zero. In problems like this, you can pick the pivot point of your choice, and still solve for the correct forces. However, there is typically a choice for the pivot point that makes the problem solving steps possible or at least easier. This will depend on the problem, but often depends on the fact that the torque due to a force at the pivot point is zero. This lets you ignore those torque terms in your calculations. a. What is the best choice of pivot point for this problem? Select one: A. The base of the ladder B. The center of mass of the ladder C. The top of the ladder By selecting the base of the ladder, you can ignore the torque due to both the…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?Fy Fx The plant in the picture has mass of 29 kg, and is hanging at a distance of 2.2 meters from the wall. The horizontal rod has mass of 8 kg. Assume that its weight is evenly distributed, therefore it can be treated as a single force at the center of mass. The rod is 3 meters long, and there is a cable at a 28° angle supporting it at the end. Using the wall as the axis of rotation, find the magnitude of the downward torque, from both the weight of the rod and the weight of the plant. N.m The downward torque is balanced by the upward torque from the force of tension. Find th e ma'gnitude ef the ferce of tensien
- The figure below shows a horizontal rod, of length 7.4 m, with forces acting on it. A 30 N force acts at its left end, point O, in a direction down and to the left, 45° below horizontal. A 25 N force acts at its center, point C, in a direction up and to the right, 30° to the right of vertical. A 20 N force acts at the right end, in a direction down and to the right, 20° below horizontal. *a) What is the net torque (in N · m) on the rod about an axis through O perpendicular to the page? magnitude= ____N · m direction= clockwise or counter clockwise (b)What is the net torque (in N · m) on the rod about an axis through C perpendicular to the page? magnitude= ___ N · m direction= clockwise or counter clockwiseFor 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 x3Now compute the torque, in N • cm. Now calculate the torque produced by each force.
- A rope with a negligible mass has two blocks that are suspended over a pulley, m, and M, as shown in the image. The pulley can be considered as a uniform solid cylindrical disk. Draw a free body diagram and explain if the tensions in the two strings equal? Why? Why not? To solve the problem, why can’t I use the system approach and write the equation for M and m at the same time? Please write the equations that will help solve for T1 and T2Calculate 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.As a swimmer pulls his arm through the water, various muscles exert forces on the upper arm. The figure below shows a force F exerted on the humerus (upper arm bone) by the pectoral muscle. The muscle is connected to the bone d = 7.30 cm from the center point O of the shoulder joint. Find the magnitude of F, if this force's torque on the arm provides half of the total torque balancing the torque produced by the water pushing against the hand. (Let Fhand = 119and D = 33.0 cm. )