12.0 m-
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Sir Lancelot rides slowly out of the castle at Camelot and onto
the 12.0-m-long drawbridge that passes over the moat (Fig. ).
Unbeknownst to him, his enemies have partially severed the vertical
cable holding up the front end of the bridge so that it will break under
a tension of 5.80 * 103 N. The bridge has mass 200 kg and its center
of gravity is at its center. Lancelot, his lance, his armor, and his horse
together have a combined mass of 600 kg. Will the cable break before
Lancelot reaches the end of the drawbridge? If so, how far from the
castle end of the bridge will the center of gravity of the horse plus rider
be when the cable breaks?
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- Item 2 Consider the crane system in (Figure 1). It can be operated so that the steel beam ratates around the orange axle. The crane is supported by a steel cable attached to it 6.0 mm from the upper and making a 30 angle. The steel beam is 32 1n in length and weighs 25,000 N. The beam's unique design causes the center at gravity to be at a point 12 m along the beam from the ground. Figure 6.0 m 300 Y Part A If 0 = 71" and the metal crate hanging on a 4.5 m massless cord weighs 17,000 N, determine the tension in the steel cable supporting the crane. Express your answer with the appropriate units. T = Submit ▾ Part B. TA Value Submit Request Answer F₁ - Value O E Request Answer Units Determine the horizontal component of the force experienced by the steel beam at the axel base.. Express your answer with 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. ? C Units ? Review | ConstantsTwo 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 500.-N uniform rectangular sign 4.00 mwide and 3.00 m high is suspended from ahorizontal, 6.00-m-long, uniform, 100.-N rodas indicated in Figure P8.25. The left end ofthe rod is supported by a hinge, and the rightend is supported by a thin cable making a30.0° angle with the vertical. (a) Find the tensionT in the cable. (b) Find the horizontaland vertical components of force exerted onthe left end of the rod by the hinge.
- A drawer of negligible mass is at rest at the extreme left of a table of 25.0 kg and 2.00 m in length (see figure). The width of the drawer is 75.0 cm and sand is to be distributed evenly in it. The center of gravity of the nonuniform table is 50.0 cm from the far right. What mass of sand should be placed in the drawer so that the board balances horizontally on its fulcrum, which is positioned exactly below its midpoint?A hungry bear weighing 700. Nwalks out on a beam in an attemptto retrieve a basket of goodieshanging at the end of the beam(Fig. P8.28). The beam is uniform,weighs 200. N, and is 6.00 m long,and it is supported by a wire atan angle of θ = 60.0°. The basketweighs 80.0 N. (a) Draw a forcediagram for the beam. (b) Whenthe bear is at x = 1.00 m, find thetension in the wire supporting thebeam and the components ofthe force exerted by the wall on the left end of the beam. (c) Ifthe wire can withstand a maximum tension of 900. N, what is themaximum distance the bear can walk before the wire breaks?0.20 L 0.40 L 3. The foot of a ladder rests against a wall and its top is held by a tie rope, as shown in the figure. The ladder weighs 100 N, & its center of gravity is 0.40 of its length from the foot. A 150 N child hangs from the rung that is 0.20 of the length from the top. Determine the tension in the tie rope and the components of the force on the foot of the ladder. Tie rope IS0 N 37 100 N
- Kendra holds the end of a rope that is .5 kilograms and .60 meters long, while her friend Lupita holds it on the other end, with a force of 150 N. What is the torque that Kendra withstands? The rope has a Young's Modulus of 55x10^8 Pa, unfortunately, it cannot stretch more than 3 cmfrom 600 Newtons of tensile force, or else it would break apart. Would it break apart in this case?Please answer correctly. Thanks.A 75 N seesaw supports two people who weigh 500N and 550N.respectively. the Fulcrum Is under the center of gravity of the board. The 550N person is 1.50 m from the centera). Where does the smaller person sit so the seesaw is balanced?
- A man holds a 171, N ball in his hand, with the forearm horizontal. He can support the ball in this position because the flexor muscle force, which is appliedperpendicular to the forearm. The forearm weighs 19.3 N and has a center of gravity as indicated. Find the magnitude of M.A 6-m long ladder has a mass of 1Q kg, and its center of gravity is 2.4 m from the bottom along the ladder. The ladder is resting on a 5° upward sloping floor at A and on a wall inclined to the right at 5° from the vertical at B, so that it makes an angle of 60° with the horizontal.How far up along the ladder can a 7T-kg man climb before the ladder is on the verge of slipping? The angleof friction at all contact surfaces is 15°. Also determine the total reaction at A and B in Newton. Note: Point A is at the left of point B. Where: Q=2 T=6A 1.90-m-long barbell has a 24.0 kg weight on its left end and a 32.0 kg weight on its right end. Where is the center of gravity if the 9.00 kg mass of the barbell itself is taken into account?