One end of a uniform meter stick is placed against a vertical wall. The other end is held by a lightweight cord that makes an angle theta with the stick. The coefficient of static friction between the end of the meter stick and the wall is 0.400. Set up equations for net force and net torque and then find the maximum value theta can have if the stick is to remain at equilibrium.
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One end of a uniform meter stick is placed against a vertical wall. The other end is held by a lightweight cord that makes an angle theta with the stick. The coefficient of static friction between the end of the meter stick and the wall is 0.400.
Set up equations for net force and net torque and then find the maximum value theta can have if the stick is to remain at equilibrium.
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- When opening a door, you push on it perpendicularly with a force of 67.5 N at a distance of 0.775 m from the hinges. What torque, in newton meters, are you exerting relative to the hinges?(a) When opening a door, you push on it perpendicularly with a force of 44.0 N at a distance of 0.780 m from the hinges. What torque (in N-m) are you exerting relative to the hinges? (Enter the magnitude.) N-m (b) Does it matter if you push at the same height as the hinges? O Yes O NoFor 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
- The angle between the beam and the floor is 15.0 degrees. The angle between the rope and the horizontal is 31.0 degrees. The beam is 4.10-m long and has a mass of 6.10 kg. The box sits a distance of d = 0.770 m from the upper end of the beam and has a mass of 9.60 kg.What is the torque due only to the weight of the box if the axis is at the hinge?(a) A woman opens a 1.35 m wide door by pushing on it with a force of 44.5 N applied at the center of the door, at an angle perpendicular to the door's surface. What magnitude of torque (in N · m) is applied about an axis through the hinges? (b) A girl opens the same door, using the same force, again directed perpendicular to the surface, but now the force is applied at the edge of the door. What magnitude of torque (in N · m) is applied about the axis through the hinges now?A uniform 10.0 m ladder of weight WL=375 N leans against a frictionless wall. There is a force of static friction between the floor and the bottom of the ladder. A person weighing Wp stands 7.4 m between the bottom of the ladder. Draw a free body diagram for the ladder. Draw a torque diagram for the ladder. Determine the force that the wall exerts on the top of the ladder. Determine the force of static friction exerted on the ladder by the floor.
- 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 x3Calculate 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. )