Big Sister and Little Brother are balanced on a see-saw. Big Sister sits a distance of 1.13m away from the center of the see-saw and Little Brother sits a distance of 1.97m away from the center of the see-saw. The total mass of the two children is 57.0kg. Little Brother has a mass of_ kg.
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- To get up on the roof, a person (mass 70.0 kg) places a 6.00-m aluminum ladder (mass 10.0 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 of the forces on the ladder at the top and bottom?In a physics experiment, a metal bar is balanced on a fulcrum. A 5.0 kg mass is placed on the bar, 45.0 cm from the fulcrum, and on the same side a 2.0 kg mass is placed an unmeasured distance away from the fulcrum. Another mass (12 kg) is placed on the other side of the fulcrum, 50.0 cm away.How far away is the 2.0 kg mass from the fulcrum?when one boy is sitting 1.2 m from the center of a see-saw, another boy must sit on the other side 1.5 m from the center to maintain an even balance. However, when the first boy carries an additional weight of 14 kg and sit 1.8 m from the center, the second boy must move to 3 m from the center to balance. Neglecting the weight of the see-saw, find the weight of the heavier boy.
- A 55-kg woman and a 72-kg man sit at the opposite ends of a seesaw, 3.6 m long. Where is their center of mass? (Ignore the mass of the seesaw.) a) 2.04 m from the man. b) 2.04 m from the woman. c) 1.56 m from the woman.Fred Flintstone’s club–ax is made up of two parts: an uniform 4.0 kg stick and a symmetrical 7 kg stone attached to the end of the stick. The dimensions of the club-ax are shown in the figure. How far is the center of mass from the handle end of the club-ax? Express your answer in cm.Consider the U-beam section shown in the figure below. The beam section splits into 3 segments (assuming it to be made of uniform, material and the mass of the vertical segment is double the mass of the horizontal segments). Find the y-coordinate of the center of mass from the bottom of the beam section (in cm). 120 cm 30 cm 180 cm +40 cm T30 cm ---. Origin 120 cm O a. 120.0 Ob. 177.5 12:11 ENG 18/05/2021
- An equal arm balance is made by placing a meter stick at its center so it looks like a seesaw. The first mass m=3 kg is hung at r= 0.25 m To the left of the center. A second mass equaling 1.4 kg is hung at 0.4 m to the right of the center. At what location with respect to the center of the meter stick must a third mass of 0.8 kg be hung for the meter stick to be in equilibrium? to the left of the center. A second mass equaling 1.4 kg is hung at 0.4 m to the right of the center. At what location with respect to the center of the meter stick must a third mass of 0.8 kg be hung for the meter stick to be in equilibrium? (All angles are 90 degrees)A beam of negligible mass and a length of 1.00 m balances two masses m₁ 16 kg and m₂ = 8 kg. The distance of m₁ from the fulcrum is 20 cm. Let the distance of m₂ from the fulcrum be d2. Assume all quantities are correct to 3 significant figures. m2 m2g (a) For first condition equilibrium is m₁g-m₂g. N=0. N O N-m₁g-m₂g-0. N+m₁g-m₂g=0. N-m₁g+m₂g=0. mi mig (b) Match the directions of rotations induced by the forces about the fulcrum: A. N no rotation B. mg clockwise C. m₂g counter-clockwiseA person carries a plank of wood 2.00 m long with one hand pushing it down at one end with a force F1 and the other hand holding it up with a force F2 at a distance of 0.500 m from the same end of the plank. If the plank has mass 20.0 kg and the center of mass of the plank is in the middle of the plank, what are the magnitudes of the forces F1 and F2? a. F1 = 392.4 N, F2 = 196.2 N b. F1 = 392.4 N, F2 = 392.4 N c. F1 = 196.2 N, F2 = 392.4 N d. F1 = 196.2 N, F2 = 196.2 N
- Two painters stand on a 10.0mlong plank of mass 300 kg. The plank rests on two pillars separated by 6.00m. Danny has a mass of 92.0 kg and stands 3.00m from the left end of the plank and Jerry has a mass of 68.0 kg and stands 1.50m from Danny. Assume that the plank is not nailed to the pillars (the plank only rests on top of pillars). Danny = 92 kg Jerry = 68 kg 3m mass plank = 300 kg 1.5 m 2m 6m 2m Assuming both painters are now off of the plank determine what maximum amount of mass can be placed at the right edge if the plank is not to tip over.Two painters stand on a 10.0mlong plank of mass 300 kg. The plank rests on two pillars separated by 6.00m. Danny has a mass of 92.0 kg and stands 3.00m from the left end of the plank and Jerry has a mass of 68.0 kg and stands 1.50m from Danny. Assume that the plank is not nailed to the pillars (the plank only rests on top of pillars). Darny = 92 kg Jeny - 68 kg mass plank - 300 kg 1.5m Determine the force which the right pillar exerts on the plank? O 1898 N 1568 N O 2140 N 1640 N 2010 N O 1770 N O 2254 N 2430 NTwo painters stand on a 10.0m long plank of mass 300 kg. The plank rests on two pillars separated by 6.00m. Danny has a mass of 92.0 kg and stands 3.00m from the left end of the plank and Jerry has a mass of 68.0 kg and stands 1.50m from Danny. Assume that the plank is not nailed to the pillars (the plank only rests on top of pillars). Danny = 92 kg Jerry = 68 kg 3m mass plank = 300 kg 1.5 m 2m 6m 2m Determine the force which the left pillar exerts on the plank.
