The distance d of the spring stretched from equilibrium.

Question

A beam resting on two pivots has a length of L = 6.00 mand mass M = 90.0 kg. The pivot under the left end exerts anormal force n1 on the beam, and the second pivot placed adistance l= 4.00 m from the left end exerts a normal force n2.A woman of mass m = 55.0 kg steps onto the left end of thebeam and begins walking to the right as in Figure P8.22. Thegoal is to find the woman’s position when the beam begins totip. (a) Sketch a free-body diagram, labeling the gravitationaland normal forces acting on the beam and placing the womanx meters to the right of the first pivot, which is the origin.(b) Where is the woman when the normal force n1 is the greatest?(c) What is n1 when the beam is about to tip? (d) Use theforce equation of equilibrium to find the value of n2 whenthe beam is about to tip. (e) Using the result of part (c) and thetorque equilibrium equation, with torques computed aroundthe second pivot point, find the woman’s position when thebeam is about to tip. (f) Check the answer…

Answer 1

Question

Chapter 8, Problem 29P

(a)

To determine

The distance d of the spring stretched from equilibrium.

(b)

To determine

The components of force exerted by the pivot on the beam.

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A beam resting on two pivots has a length of L = 6.00 mand mass M = 90.0 kg. The pivot under the left end exerts anormal force n1 on the beam, and the second pivot placed adistance l= 4.00 m from the left end exerts a normal force n2.A woman of mass m = 55.0 kg steps onto the left end of thebeam and begins walking to the right as in Figure P8.22. Thegoal is to find the woman’s position when the beam begins totip. (a) Sketch a free-body diagram, labeling the gravitationaland normal forces acting on the beam and placing the womanx meters to the right of the first pivot, which is the origin.(b) Where is the woman when the normal force n1 is the greatest?(c) What is n1 when the beam is about to tip? (d) Use theforce equation of equilibrium to find the value of n2 whenthe beam is about to tip. (e) Using the result of part (c) and thetorque equilibrium equation, with torques computed aroundthe second pivot point, find the woman’s position when thebeam is about to tip. (f) Check the answer…

A beam resting on two pivots has a length of 6.00 m and mass 90.0 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 55.0 kg steps onto the left end of the beam and begins walking to the right as in Figure P8.22. The goal is to find the woman’s position when the beam begins to tip. 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. Where is the woman when the normal force n1 is the greatest? What is n1 when the beam is about to tip? Use the force equation of equilibrium to find the value of n2 when the beam is about to tip. 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. Check the answer to part (e)…

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