A uniform rod of mass 500. g is used as a balance. We want to balance a 2.00-kg weight on the left end by a 750.g weight on the right end. (a) How far from the left end should the fulcrum be placed if the rod is 1.00 m long? (b) What is the normal force of the fulcrum on the rod?
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- A uniform plank of length 5 m and weight 200 N rests horizontally on two supports with 1.1 m of the plank hanging over the right support. To what distance x, can a person who weights 430 N walk on the overhanging part of the plank before it just starts to tip? What is the net torque around the pivot point (take the FR support as the pivot point)?A 520-N uniform rectangular sign 4.00 m wide and 3.00 m high is suspended from a horizontal, 6.00-m-long, uniform, 150-N rod as indicated in the figure below. The left end of the rod is supported by a hinge, and the right end is supported by a thin cable making a 30.0° angle with the vertical. (Assume the cable is connected to the very end of the 6.00-m-long rod, and that there are 2.00 m separating the wall from the sign.) 30.00 T ICE CREAM SHOP (a) Find the tension T in the cable. (Give the magnitude of the tension.) N (b) Find the horizontal and vertical components of force exerted on the left end of the rod by the hinge. (Take up and to the right to be the positive directions. Indicate the direction with the sign of your answer.) horizontal component N vertical component Need Help? Read It Master ItA uniform beam of weight 12 N and length 10 m is mounted by a small hinge on a wall. The beam is held in a horizontal position by a vertical rope at the location as shown. What is the hinge force on the beam? 6.0 m O 27 N, up O 27 N, up O zero O 3.0 N, up O 3.0 N, down O 12 N, up O 12 N, down
- A 400-N uniform rectangular sign 4.00 m wide and 3.00 m high is suspended from a horizontal, 6.00-m-long, uniform, 120-N rod as indicated in the figure below. The left end of the rod is supported by a hinge and the right end is supported by a thin cable making a 30.0° angle with the vertical. (Assume the cable is connected to the very end of the 6.00-m-long rod, and that there are 2.00 m separating the wall from the sign.) (a) Find the (magnitude of the) tension T in the cable.=_______N (b) Find the horizontal and vertical components of the force exerted on the left end of the rod by the hinge. (Take up and to the right to be the positive directions. Indicate the direction with the sign of your answer.) HORIZONTAL COMPONENT= _________N VERTICAL COMPONENT= _________N(a) A woman opens a 1.50 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? N. m (b) A second person 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? N. mTwo children of mass 25 kg and 26 kg sit balanced on a seesaw with the pivot point located at the center of the seesaw. If the children are separated by a distance of 3.0 m, at what distance, in meters, from the pivot point is the smaller child sitting in order to maintain the balance?
- In the figure below, the cg of the pole held by the pole vaulter is 2.54 m from the left hand, and the hands are 0.733 m apart. Assume the vaulting pole has a mass of 3.32 kg.) (a) calculate the force (in N) exerted by his right hand ( enter the magnitude.) (b) calculate the force (in N) exerted by his left hand. ( enter the magnitude) (c) If each hand supports half the weight of the pole in the figure below , show that the second condition for equilibrium (net τ = 0) is satisfied for a pivot other than the one located at the center of gravity of the pole. Explicitly show how you follow the steps in the Problem-Solving Strategy for static equilibrium described above. Figure C is the last diagramA 460-N uniform rectangular sign 4.00 m wide and 3.00 m high is suspended from a horizontal, 6.00-m-long, uniform, 140-N rod as indicated in the figure below. The left end of the rod is supported by a hinge and the right end is supported by a thin cable making a 30.0° angle with the vertical. (Assume the cable is connected to the very end of the 6.00-m-long rod, and that there are 2.00 m separating the wall from the sign.) 30.00 ICE CREAM SHOP (a) Find the (magnitude of the) tension T in the cable. (b) Find the horizontal and vertical components of the force exerted on the left end of the rod by the hinge. (Take up and to the right to be the positive directions. Indicate the direction with the sign of your answer.) horizontal component N vertical component Need Help? Read It Master ItA 560-N uniform rectangular sign 4.00 m wide and 3.00 m high is suspended from a horizontal, 6.00-m-long, uniform, 120-N rod as indicated in the figure below. The left end of the rod is supported by a hinge, and the right end is supported by a thin cable making a 30.0° angle with the vertical. (Assume the cable is connected to the very end of the 6.00-m-long rod, and that there are 2.00 m separating the wall from the sign.) 30.00 T ICE CREAM SHOP (a) Find the tension T in the cable. (Give the magnitude of the tension.) (b) Find the horizontal and vertical components of force exerted on the left end of the rod by the hinge. (Take up and to the right to be the positive directions. Indicate the direction with the sign of your answer.) horizontal component N vertical component Need Help? Read It Master It
- Two people carry a heavy electric motor by placing it on a light board 2.10 mm long. One person lifts at one end with a force of 450 NN, and the other lifts the opposite end with a force of 570 NN. What is the weight of the motor? Express your answer in newtons. Where along the board is its center of gravity located? Express your answer in meters. Suppose the board is not light but weighs 190 NN, with its center of gravity at its center, and the two people each exert the same forces as before. What is the weight of the motor in this case? Express your answer in newtons. Where is its center of gravity located? Express your answer in meters.A baseball bat balances 72.9 cm from one end. If an 0.525-kg glove is attached to that end, the balance point moves 25.6 cm toward the glove. Calculate the mass of the bat.A beam resting on two pivots has a length of L = 6.00 m and mass M = 79.0 kg. The pivot under the left end exerts a normal force n, on the beam, and the second pivot placed a distance l = 4.00 m from the left end exerts a normal force n,. A woman of mass m = 59.5 kg steps onto the left end of the beam and begins walking to the right as in the figure below. The goal is to find the woman's position when the beam begins to tip. M (a) Sketch a free-body diagram, labeling the gravitational and normal forces acting on the beam and placing the woman x meters to the right of the first pivot, which is the origin. (Submit a file with a maximum size of 1 MB.) Choose File No file chosen This answer has not been graded yet. (b) Where is the woman when the normal force n, is the greatest? X = (c) What is n, when the beam is about to tip? N (d) Use the force equation of equilibrium to find the value of n, when the beam is about to tip. N (e) Using the result of part (c) and the torque equilibrium…