A uniform rod whose mass equals 15.3 kg is supported by cable and hinge as shown below. The rod has a length of 2.5-m and supports a load of 300-Newtons. a. Draw free body diagram for the rod; b. Determine the tension in the cable. c. Determine the reaction forces at the hinge (R. and Ry ). 0 135 300-N 2.5 m 1.2 m

A uniform rod whose mass equals 15.3 kg is supported by cable and hinge as shown below. The rod has a length of 2.5-m and supports a load of 300-Newtons. a. Draw free body diagram for the rod; b. Determine the tension in the cable. c. Determine the reaction forces at the hinge (R. and Ry ). 0 135 300-N 2.5 m 1.2 m

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter9: Statics And Torque

Section: Chapter Questions

Problem 12PE: Suppose the weight of the drawbridge in Figure 9.34 is supported entirely by its hinges and the...

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Suppose the weight of the drawbridge in Figure 9.34 is supported entirely by its hinges and the opposite shore, so that its cables are slack. (a) What fraction of the weight is supported by the opposite shore if the point of support is directly beneath the cable attachments? (b) What is the direction and magnitude of the force the hinges exert on the bridge under these circumstances? The mass of the bridge is 2500 kg.
Suppose a 900-kg car is on the bridge in Figure 9.34 with its center of mass halfway between the hinges and the cable attachments. (The bridge is supported by the cables and hinges only.) (a) Find the force in the cables. (b) Find the direction and magnitude of the force exerted by the hinges on the bridge.
A 15.0-in uniform ladder weighing 500 N rests against frictionless wall. The ladder makes a 60.0 angle ESI with the horizontal, (a) Find the horizontal and vertical forces the ground exerts on the base of the ladder when an 800-N firelighter has climbed 4.00 m along the ladder from the bottom, (b) If the ladder is just on the verge of slipping when the firefighter is 9.00 m from the bottom, what is the coefficient of static friction between ladder and ground?
Explain the need for tall towers on a suspension bridge to ensure stable equilibrium.
Evaluate Young's modulus for the material whose stress-strain curve is shown in Figure 9.8. Figure 9.8 Stress-versus-strain curve for an clastic solid.
The upper leg muscle (quadriceps) exerts a force of 1250 N, which is carried by a tendon over the kneecap (the patella) at the angles shown in Figure 9.38. Find the direction and magnitude of the force exerted by the kneecap on the upper leg bone (the femur). Figure 9.38 The knee joint works like a hinge to bend and straighten the lower leg. It permits a person to sit, stand, and pivot.
A shop sign weighing 195 NN hangs from the end of a uniform 180180-NN beam as shown in (Figure 1). A. Find the tension in the supporting wire (at 35.0∘∘). B. Find the horizontal force exerted by the hinge on the beam at the wall. Express your answer to three significant figures and include the appropriate units. Enter positive value if the direction of the force is to the right and negative value if the direction of the force is to the left.
1) Describe an experiment to determine the center of gravity of an irregular lamina? 2) Describe an experiment to determine the mass of a meter ruler using a known mass and a knife edge?
The large quadriceps muscle in the upper leg terminates at its lower end in a tendon attached to the upper end of the tibia (see Figure a). The forces on the lower leg when the leg is extended are modeled as in Figure b, where T is the force of tension in the tendon, w is the force of gravity acting on the lower leg, and F is the force of gravity acting on the foot. Find T when the tendon is at an angle of 25.0° with the tibia, assuming that w = 29.0 N, F = 12.3 N, and the leg is extended at an angle ? of 40.0° with the vertical. Assume that the center of gravity of the lower leg is at its center and that the tendon attaches to the lower leg at a point one-fifth of the way down the leg. (Give the magnitude.)
A uniform drawbridge must be held at a 37.5 ∘∘ angle above the horizontal to allow ships to pass underneath. The drawbridge weighs 45000 NN, is 16.5 mm long, and pivots about a hinge at its lower end. A cable is connected 3.00 mm from the hinge, as measured along the bridge, and pulls horizontally on the bridge to hold it in place. 1)What is the tension in the cable? 2)Find the magnitude of the force the hinge exerts on the bridge. 3)Find the direction of the force the hinge exerts on the bridge. 4)If the cable suddenly breaks, what is the initial angular acceleration of the bridge?
A uniform beam 4.2 m long and weighing 2200 N carries a 3700 N weight 1.50 m from the far end, as shown in the figure below. It is supported horizontally by a hinge at the wall and a metal wire at the far end. 1) How strong does the wire have to be? That is, what is the minimum tension it must be able to support without breaking? Express your answer in newtons. 2) What are the horizontal component of the force that the hinge exerts on the beam? Express your answer in newtons. 3) What are the vertical component of the force that the hinge exerts on the beam? Express your answer in newtons.
6. A slightly simplified view of the arm has the hinge at the elbow, the bicep attaching to the bone 2.50cm from the ‘hinge’ and a mass supported in the hand 32.0 cm from the ‘hinge’.If the mass of the forearm is 2.60 kg and its center of mass is 12.0 cm from the‘hinge’, how many Newtons of force from the bicep would be required to hold upa weight of 98.0 N?