L = 2.0 m A diver with a mass of 43 kg is standing 1.3 m from the left end of a diving board. This diving board has a mass of 83 kg and a length of 2 meters. It is supported by a pillar that is 0.5 m from the left end (labeled F, in the figure) and a bolt that holds the left end down (labeled F, in the figure). What is the magnitude of the force from the pillar, labeled F1- F1 = What is the magnitude of the force from the end of the board, labeled F).
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- A beam resting on two pivots has a length of L = 6.00 m and mass M = 77.0 kg. The pivot under the left end exerts a normal force n1 on the beam, and the second pivot placed a distance ℓ = 4.00 m from the left end exerts a normal force n2. A woman of mass m = 61.5 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. (a) Use the force equation of equilibrium to find the value of n2 when the beam is about to tip. (b) Using the result of part (c) and the torque equilibrium equation, with torques computed around the second pivot point, find the woman's position when the beam is about to tip.x = (c) Check the answer to part (e) by computing torques around the first pivot point.x = (d)Except for possible slight differences due to rounding, is the answer the same for F and E?A uniform 10.0 m ladder of weight WL=375 N leans against a frictionless wall. There is a force of static friction between the floor and the bottom of the ladder. A person weighing Wp stands 7.4 m between the bottom of the ladder. Draw a free body diagram for the ladder. Draw a torque diagram for the ladder. Determine the force that the wall exerts on the top of the ladder. Determine the force of static friction exerted on the ladder by the floor.A 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…
- Review Conceptual Example 7 before starting this problem. A uniform plank of length 5.0 m and weight 225 N rests horizontally on two supports, with 1.1 m of the plank hanging over the right support (see the drawing). To what distance x can a person who weighs 375 N walk on the overhanging part of the plank before it just begins to tip? X = i 41.1 m²Three 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?A uniform 36.0-kg beam of length ℓ = 4.20 m is supported by a vertical rope located d = 1.20 m from its left end as in the figure below. The right end of the beam is supported by a vertical column. Answer parts a-b.
- A beam resting on two pivots has a length of L = 6.00 m and mass M = 94.0 kg. The pivot under the left end exerts a normal force n1 on the beam, and the second pivot placed a distance ℓ = 4.00 m from the left end exerts a normal force n2. A woman of mass m = 51.5 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. (a)Where is the woman when the normal force n1 is the greatest? x = _____m(b) What is n1 when the beam is about to tip?____N(c) Use the force equation of equilibrium to find the value of n2 when the beam is about to tip.____NA painter stands on a uniform horizontal beam of length L = 6.0 m that is held in equilibrium by support cables attached to the roof as shown in Figure 3. The beam has a weight Wb = 250.0 N and the tensions on the left and the right ends are measured to be Tl = 360.0 N and Tl = 200.0 N respectively. A. Calculate the weight of the painter Wp , and Wb. the distance x where the painter is standing.A beam is connected to the floor by a hinge. A rope is attached to the other end of the beam. The other end of the rope is connected to the ceiling. There is box sitting on the beam (see figure).The angle between the beam and the floor is 8.60 degrees. The angle between the rope and the horizontal is 20.0 degrees. The beam is 4.00-m long and has a mass of 6.80 kg. The box sits a distance of d = 0.620 m from the upper end of the beam and has a mass of 8.00 kg. The tension in the rope is 205.7 N.What is the horizontal component of the force on the beam due to the hinge?