A 30 kg basketball goal is supported by a uniform 10.0 kg pivoting arm that is 0.70 m long. The goal and arm are raised and lowered by a cable that attaches at a point 0.50 m from the wall, as shown. When the goal is down, the cable makes a 45° angle with the arm. What is the tension in the cable?
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A 30 kg basketball goal is supported by a uniform 10.0 kg pivoting arm that is 0.70 m long. The goal and arm are raised and lowered by a cable that attaches at a point 0.50 m from the wall, as shown. When the goal is down, the cable makes a 45° angle with the arm. What is the tension in the cable? |
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- A hungry bear weighing 700 N walks out on a beam in an attempt to retrieve a basket of goodies hanging at the end of the beam (Fig. P8.22). The beam is uniform, weighs 200 N, and is 6.00 m long, and it is supported by a wire at an angle of 0 = 60.0°. The basket weighs 80.0 N. (a) Draw a force diagram for the beam. (b) When the bear is at x = 1.00 m, find the tension in the wire supporting the beam and the components of the force exerted by the wall on the left end of the beam. (c) If the wire can withstand a maximum tension of 900 N, what is the maximum distance the bear can walk before the wire breaks?The meterstick shown is 100 cm long. It is free to pivot around its center of gravity (CG), which is at the 50 cm mark. There is a 24.0 N block hanging from the 80 cm mark. Decide where each of the other blocks should be placed, one at a time, to balance out the 24.0 N block. At what mark on the meter stick would you place a 19.0 N block to balance the 24.0 N block? mark: At what mark on the meter stick would you place a 44.0 N block to balance the 24.0 N block? mark:A 13.6 kg. 3.6 m long seesaw bar (assume that the bar is uniform) is perfectly balanced upon a support that is 0.2 m to the left of its center. There is a 6.5 kg block sitting on the far right side of the seesaw. How large of a mass do we need to place on the far left of the seesaw for it to be balanced?
- A 25.0 kg floodlight in a park is supported at the end of a horizontal beam of negligible mass that is hinged to a pole, as shown in Figure P8.22. A cable at an angle of 30.0° with the beam helps to support the light. 30,0% Figure P8.221 (a) Find the tension in the cable. N (b) Find the horizontal and vertical forces exerted on the beam by the pole. horizontal N (to the right) vertical N (upward)You’re a highway safety engineer, and you’re asked to specify bolt sizes so the traffic signal shown in the Figure below won’t fall over. The figure indicates the masses and positions of the structure’s various parts. The structure is mounted with two bolts, located symmetrically about the vertical member’s centerline, as shown. What tension force must the left-hand bolt be capable of withstanding?When you bend over, a series of large muscles, the erector spinae, pull on your spine to hold you up. Figure shows a simplified model of the spine as a rod of length L that pivots at its lower end. In this model, the center of gravity of the 320 N weight of the upper torso is at the center of the spine. The 160 N weight of the head and arms acts at the top of the spine. The erector spinae muscles are modeled as a single muscle that acts at an 12° angle to the spine. Suppose the person shown bends over to an angle of 30° from the horizontal. a. What is the tension in the erector muscle? Hint: Align your x-axis with the axis of the spine.b. A force from the pelvic girdle acts on the base of the spine. What is the component of this force in the direction of the spine? (This large force is the cause of many back injuries).
- A 45.5‑kg box with the dimensions a×b (the width a = 0.6 m and height b = 1.3 m) is standing on a rough horizontal floor (μs = 1.3). A Professor wants to tip the box over, she pushes on the right side of the box with a horizontal force F = 140 N at a distance h = 1.04 m above the floor as shown in the picture below. The other forces acting on the box are the gravity force (applied to the CoM of the box), the static friction force Fs and the normal force N (both applied to the lower right corner of the box, point Q). Calculate the magnitude and direction of the torques produced by the forces acting on the box relative to the lower right corner (point Q). Assume uniform mass distribution. 1. The torque due to the external force, τQ(due to F) = 2. The torque due to the weight of the box, τQ(due to mg) = 3. The torque due to the friction force, τQ(due to Fs) = 4. The torque due to the normal force, τQ(due to N) =A homeowner is trying to move a stubborn rock from his yard. By using a a metal rod as a lever arm and a fulcrum (or pivot point) the homeowner will have a better chance of moving the rock. The homeowner places the fulcrum a distance ?=0.266 m from the rock, which has a mass of 325 kg, and fits one end of the rod under the rock's center of weight.The 3.0-m-long, 100 kg rigid beam of FIGURE EX12.31 is supported at each end. An 80 kg student stands 2.0 m from support 1. How much upward force does each support exert on the beam? FIGURE EX12.31 Support 1 2.0 m 3.0 m Support 2
- The meterstick shown is 100 cm long. It is free to pivot around its center of gravity (CG), which is at the 50 cm mark. There is a 25.0 N block hanging from the 80 cm mark. Decide where each of the other blocks should be placed, one at a time, to balance out the 25.0 N block.A hungry bear weighing 85.0 kg walks out on a beam in an attempt to retrieve a basket of food hanging at the end of the beam. The beam is uniform, has a mass of 20.0 kg, is 8.00 m long, and pivoted at the wall; the basket weighs 10.0 kg. If the wire can withstand a maximum tension of 900 N, what is the maximum distance that the bear can walk before the wire breaks? ←x 60.0⁰ GoodiesA 4 m long horizontal uniform beam of mass 20 kg is supported by a wire as shown in the figure. The wire makes an angle of 23 degrees with the beam. Attached to the beam 1.2 m from the wall is a ball with a mass of 48 kg. What is the tension in the string? K 0 (m)