-75.0 cm- Center of gravity of plank Sandbox K-50.0 cm->i
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A box of negligible mass rests at the left end of a 2.00 m,
25.0 kg plank (Fig. ). The width of the box is 75.0 cm, and sand
is to be distributed uniformly throughout it. The center of gravity of the
nonuniform plank is 50.0 cm from the right end. What mass of sand
should be put into the box so that the plank balances horizontally on a
fulcrum placed just below its midpoint?
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- 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, 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.) 30.0° 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 NThe drawing shows an A-shaped ladder. Both sides of the ladder are equal in length. This ladder is standing on a frictionless horizontal surface, and only the crossbar (which has a negligible mass) of the " A " keeps the ladder from collapsing. The ladder is uniform and has a mass of 15.2Kg. Det k mine the tension in the crossbar of the ladder.A man is holding a 2.80-kg ball, as shown in the figure. The distance from the elbow joint to the ball is d= 32.5 cm, and the distance from the elbow joint to the insertion of the triceps muscle is d= 2.50cm. The mass of the lower arm, including the hand, is 3.60 kg, and its center of gravity is at a distance d= 13.6cm from the elbow joint. a)Draw a free body diagram of the forearm. b)What is the magnitude of the force FM, exerted by the triceps? c)What is the force exerted by the humerus on the elbow joint?
- A 11.0-kg monkey dimbs a uniform ladder with weight w1.40 x 10 N and length -2.60 m as shown in the figure below, The ladder rests against the wall and makes an angle of 60.0 with the ground. The upper and lower ends of the ladder rest on frictionless surfaces. The lower end is connected to the wall by a horizontal rope that is frayed and can support a maximum bension of only 80.0 N. (a) Draw a force diagram for the ladder. Choose FNo fle chosen This answer has not been graded yet (b) Find the normal force exerted on the bottom of the ladder 24 N (c) Find the tension in the rope when the monkey is two-thirds of the way up the ladder. 190 N (d) Find the maximum distance d (along the ladder) that the monkey can dimb up the ladder before the rope breaks. Your response differs significantiy from the correct answer. Rework your solution from the beginning and check each step carefully. m (e) f the horizontal surface were rough and the rope were removed, how would your analysis of the…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 NA uniform 8.00 m, 1500 kg beat is hinged to a wall and supported by a thin cable attached 2.00 m from the free end of the beam. The beam is fixed to the wall by a hinge at an angle of 30.0 degrees above the horizontal. The angle between the cable and the beam is 40 degrees. What is the direction of the torque exerted by the beam around the point where the cable is attached? -clockwise -counterclockwise
- A painter leans a ladder against a wall at an angle of 60˚ to the ground. (Assume the ladder is uniform and the center of mass of the ladder is located at the middle of the ladder.) The ladder is 3.00m long and has a mass of 10.0kg. The person has a mass of 90.0kg. How far up the ladder can the painter climb before it slips if the coefficient of friction is 0.45?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 560-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.) T 30.0 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 vertical component N
- 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?