A uniform 10.0 m beam of mass 300 kg extends over a ledge, as in Figure. The beam is not attached but simply rests on the surface. A 60.0 kg student intends to position the beam so that he can walk to the end of it. What is the maximum distance the beam can extend past the end of the ledge and still allow him to perform this feat?
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A uniform 10.0 m beam of mass 300 kg extends over a ledge, as in Figure. The beam is not attached but simply rests on the surface. A 60.0 kg student intends to position the beam so that he can walk to the end of it. What is the maximum distance the beam can extend past the end of the ledge and still allow him to perform this feat?
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- A uniform ladder stands on a rough floor and rests against a frictionless wall as shown in the figure. Since the floor is rough, it exerts both a normal force N1 and a frictional force f1 on the ladder. However, since the wall is frictionless, it exerts only a normal force N2 on the ladder. The ladder has a length of L = 4.4 m, a weight of WL = 53.5 N, and rests against the wall a distance d = 3.75 m above the floor. If a person with a mass of m = 90kg is standing on the ladder, determine the following. (a) the forces exerted on the ladder when the person is halfway up the ladder (Enter the magnitude only.) N1 = ? N N2 = ? N f1 = ? N (b) the forces exerted on the ladder when the person is three-fourths of the way up the ladder (Enter the magnitude only.) N1 = ? N N2 = ? N f1 = ? NA 10.0 m long rod, with a mass which acts at its center, supports three weights as shown. Where is its center of gravity? X kg Y kg 0.0 5.0 m Z kg 10.0 m where X = 5.00, Y = 27.0, and Z = 22.0A beam resting on two pivots has a length of L = 6.00 m and mass M = 87.0 kg. The pivot under the left end exerts a normal force n₁ on the beam, and the second pivot placed a distance = 4.00 m from the left end exerts a normal force n₂. A woman of mass m = 52.0 kg steps onto the left end of the beam and begins walking to the right as in the figure below. The goal is to find the woman's position when the beam begins to tip. -L- m M (a) Sketch a free-body diagram, labeling the gravitational and normal forces acting on the beam and placing the woman x meters to the right of the first pivot, which is the origin. (Submit a file with a maximum size of 1 MB.) Choose File No file chosen (b) Where is the woman when the normal force n₁ is the greatest? x = L m (c) What is n, when the beam is about to tip? N (d) Use the force equation of equilibrium to find the value of n₂ when the beam is about to tip. N (e) Using the result of part (c) and the torque equilibrium equation, with torques computed…
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- What is the student’s weight?To get up on the roof, a person (mass 87.0 kg) places a 5.60 m aluminum ladder (mass 14.0 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 NThe figure shows a 4.20-kg, 1.80-m-long rod hinged to a vertical wall and supported by a thin wire. The wire and rod each make angles of 45° with the vertical. When a 10.0-kg block is suspended from the midpoint of the rod, the tension T in the supporting wire is 49.3 N. The wire will break when the tension exceeds 75.0 N. 45° 45° T 10kg Tipler & Mosca, Physics for Scientists and Engineers, 6e © 2008 W.H. Freeman and Company What is the maximum distance dmax from the hinge from which the block can be suspended? dmax = m
- Three children are trying to balance on a seesaw. The seesaw is 4.1 m long and pivots about a rock at its center. Louie and Laura are already sitting on opposite ends. If Martha weighs 33 kg, where should she sit so as to balance the seesaw?You're carrying a 3.4-m-long, 24 kg pole to a construction site when you decide to stop for a rest. You place one end of the pole on a fence post and hold the other end of the pole 35 cm from its tip. How much force must you exert to keep the pole motionless in a horizontal position?A uniform beam of mass 11.0 kg and length 1.10 m is suspended by a rope attached at a distance x = 19.0 cm from the right end of the beam as shown. The cable makes an angle ? = 26.0° with the beam. The other end of the beam is attached to a wall by a frictionless hinge. An object of mass m = 1.60 kg sits on the beam at a distance of 16.0 cm from the hinge. Screen Shot 2020-04-25 at 1 (a) Find the magnitude of the tension in the rope. : Your answer is incorrect. N (b) Find the magnitude of the horizontal component of the force of the hinge on the beam .