r= 40 mm 60 mm 50 mm 0 10 mm 10 mm 50 mm `r= 30 mm 60 mm 60 mm 10 mm
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For the machine element shown, locate the y coordinate of the center of gravity.
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- Elements of the lower arm are shown in the figure. The weight of the forearm is at Q = 55 N and its center of gravity is at point G. Hand held If the weight of the sphere is W = 160 N and the angle of the lower arm with the vertical is 0 = 40 °, the moment at the elbow pivot point O is 0 (zero). What should be the tension force T in the muscle to be? a = 11 cm, b = 24 cm andc = 52 cm. a)O 699 N b) O 521 N c) 1559 N d) 600 N e) 759 N 833 NA 7 meter long stick is suspended from two strings. The stick has a mass of 17kg that is uniformily distributed. A 9kg dog is sitting 0.7m from the left end of the stick. The center of mass is 2.53m from the left edge of the stick. What is the tension of each string?A uniform bar, of mass M, with seven evenly spaced holes is held by sliding the bar over a horizontal peg through one of the seven holes. The peg passes through hole C, and a cylin- der hangs from a hook placed through hole B as shown above. The mass of the bar is equal to the mass of the cylinder, and the location of the center of mass of the bar is at the center of hole D. In this configuration, the bar-cylinder system remains motionless but is free to rotate around the peg in hole C. Frictional forces acting on the bar are negligible. In a clear, coherent paragraph-length response that may also contain equations, explain why the bar does not rotate in this configuration. A B C D E F G
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- A large airplane typically has three sets of wheels: one at the front and two farther back, one on each side under the wings. Consider the Boeing 787 "Dreamliner", with a mass of 198000 kg. In this particular model, the distance from the front wheels to the rear set of wheels is 23.8 m. a) If the center of mass of the airplane is along a line through the center and 3.00 m in front of the rear wheels, how much force, in meganewtons, does the ground exert on each set of rear wheels when the plane is at rest on the runway? b) How much force, in meganewtons, does the ground exert on the front set of wheels?The forces exerted by the bicep muscle and acting on the elbow when a 12 kg barbell is being curled can be modeled based on the diagram above. The bicep muscle can be treated as a vertical cable. The mass and length of the forearm are 2 kg and 32 cm, respectively. The center of mass of the forearm is a distance of 14 cm from the point P, while the bicep connects to the forearm at a point 4.5 cm from P. a) Determine the tension in bicep muscle and the force of the humerus acting downward on the elbow at point P. b) Assuming the tension in the bicep muscle continues to be oriented vertically, determine the tension in the bicep muscle and the force acting at P after the barbell has been raised by an angle of 30 degrees relative to the horizontal.Pat builds a track for his model car out of wood. The track is 3 cm wide (along the z coordinate), 1 m high (along the y coordinate), and 2.7 m long (along the x coordinate starting from x = 0). The runway is cut such that it forms part of the left-hand side of a parabola, see figure below. Locate the horizontal position of the center of gravity of this track in m.
- To get up on the roof, a person (mass 82.0 kg) places a 6.60 m aluminum ladder (mass 11.0 kg) against the house on a concrete pad with the base of the ladder 2.00 m from the house. The ladder rests against a plastic rain gutter, which we can assume to be frictionless. The center of mass of the ladder is 2 m from the bottom. The person is standing 3 m from the bottom. What are the magnitudes (in N) of the forces on the ladder at the top and bottom? top N bottom NA horizontal 790-N merry-go-round of radius 1.30 m is started from rest by a constant horizontal force of 45 N applied tangentially to the merry-go-round. Find the kinetic energy of the merry-go-round after 5.0 s. (Assume it is a solid cylinder. Also assume the force is applied at the outside edge.)A diver dives from a cliff when her center of gravity is 46 feet above the surface of the water. Her initial vertical velocity leaving the cliff is 9 feet per second. After how many seconds does her center of gravity enter the water?