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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?A 1 490-kg automobile has a wheel base (the distance between the axles) of 2.70 m. The automobile's center of mass is on the centerline at a point 1.05 m behind the front axle. Find the force exerted by the ground on each front wheel (kN) Find the force exerted by the ground on each rear wheel (kN)The patellar tendon attaches to the tibia at the tibial tuberosity at a perpendicular distance of 4.91 cm from the center of the knee joint. During an isometric contraction, the lower leg is held at an angle of 35° of knee extension with a 400 N weight strapped to the ankle. The weight is 52 cm from the knee joint center. What is the force produced by the quadriceps to hold this position? Ignore the weight of the leg.
- The mass center G of the 1570-kg rear-engine car is located as shown in the figure. Determine the normal force under each tire when the car is in equilibrium. State any assumptions. Answers: GO -1276 mm-919 mm- Normal force under each of the front tires: Nf= Normal force under each of the rear tires: N₁ = i N NMark is trying to rescue Mary from a castle by climbing a uniform ladder that is 5 m long and weighs 180 N. Mark, who weighs 800 N, stops a third of the way up the ladder . The base of the ladder rets on a horizontal ground and leans in equilibrium against a vertical frictionless wall. The ladder makes an angle of 53.1 degrees with the horizontal, and forming a 3-4-5 right triangle. Find the force exerted by the ground at the base of the ladder.The device shown in the figure below is one version of a Russell traction apparatus. It has two functions: to support the injured leg horizontally and at the same time provide a horizontal traction force on it. This can be done by adjusting the weight W and the angle θ. For this patient, his leg (including his foot) is 90.0 cm long (measured from the hip joint) and has a mass of 11.4 kg. Its center of mass is 41.0 cm from the hip joint. A support strap is attached to the patient's ankle 13.0 cm from the bottom of his foot. 1) What weight W is needed to support the leg horizontally? Express your answer in newtons. 2) If the therapist specifies that the traction force must be 16.0 N horizontally, what must be the angle θ? Express your answer in degrees. 3) What is the greatest traction force that this apparatus could supply to this patient's leg? Express your answer in newtons. 4) What is θ in that case? Express your answer in degrees.
- In order to get his car out of the mud, a man ties one end of a rope to the front bumper and the other end to a tree 7.4 m away, as shown below. He then pulls on the center of the rope with a force of 490 N, which causes its center to be displaced 0.98 m, as shown. What is the force (in N) of the rope on the car? (Enter the magnitude.) 490 N 0.98 m 7.4 mTo determine the location of his center of mass, a physics student lies on a lightweight plank supported by two scales L = 4.60 m apart. (a) If the left scale reads 349 N, and the right scale reads 164 N, find the student's mass. kg (b) Find the distance from the student's head to his center of mass.A 1 470-kg automobile has a wheel base (the distance between the axles) of 3.10 m. The automobile's center of mass is on the centerline at a point 1.00 m behind the front axle. Find the force exerted by the ground on each wheel. each front wheel: each rear wheel:
- The forearm shown below is positioned at an angle with respect to the upper arm, and a 5.6 kg mass is held in the hand. The total mass of the forearm and hand is 2.1 kg, and their center of mass is 16.1 cm from the elbow. (Assume the biceps muscle exerts a force on the forearm that acts vertically.) 5.6 kg B 37.5 cm 4.0 cm (a) What is the magnitude of the force (in N) that the biceps muscle exerts on the forearm for 0-60%7 N (b) What is the magnitude of the force on the elbow joint (in N) for the same angle? N (c) How do these forces depend on the angle 07 The force that the biceps muscle exerts increases and the force on the elbow joint decreases as increases. They both decrease as @ increases. They both increase as increases. They do not depend on 0. The force that the biceps muscle exerts decreases and the force on the elbow joint increases as increases.the mast of a sailboat is supported at the bow and stern by stainless steel wires, the forstay and backstay, anchored 10m apart. The 12m long mast weighs 800N and stands vertically on the deck of the boat. The mast is positioned 3.6m behind where the forstay is attached. The tension in the forstay is 500N. Find the tension in the backstay and the force that the mast exerts on the deck.A uniform 5.0 m long 25 kg plank is to hold two people washing windows on a downtown skyscraper. The plank is supported by a rope at each end, and each of the ropes has a breaking point of 1200 N (the maximum tension allowed before the rope breaks). If the mass of the window washer that is standing 1.0 m from the right end of the plank is 85 kg and the second window washer with a mass of 75 kg stands 2.0 m from the left end of the plank, then what are the magnitudes of the tensions in each rope? Do either of the ropes break? Include a force or free-body diagram of the situation.