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A 700 N bear is standing on a metal plank supported by the cable shown in the figure. At the end of the plank hangs a basket weighing 80 N. Assume the plank is uniform, weighs 200 N, is 7.00 m long, and 0 = 60.0°. (a) When the bear is at x = 1.05 m, find the tension in the cable supporting the plank and the components of the force exerted by the wall on the left end of the plank. (Enter the magnitudes of your answers in N.) T = 0 Draw a modified force diagram, including distances. Write the equation for rotational equilibrium, with torques about the left end of the plank. Solve your equation for T. N Fx = 0 X Apply Newton's second law to the plank in the horizontal direction. Solve for Fx, the horizontal force exerted by the wall on the plank. You will need your value for T to calculate your answer. N 0 Fy Goodies = Apply Newton's second law to the plank in the vertical direction. Solve for F Fyr wall on the plank. You will need your value for T to calculate your answer. N the vertical force exerted by the (b) If the cable can withstand a maximum tension of 750 N, what is the maximum distance (in m) the bear can walk before the cable breaks? (Measure this distance from the wall.) 0 X Use the torque equation you derived to calculate T in part (a), and solve it for x. Use the maximum value of T. m

A 700 N bear is standing on a metal plank supported by the cable shown in the figure. At the end of the plank hangs a basket weighing 80 N. Assume the plank is uniform, weighs 200 N, is 7.00 m long, and 0 = 60.0°. (a) When the bear is at x = 1.05 m, find the tension in the cable supporting the plank and the components of the force exerted by the wall on the left end of the plank. (Enter the magnitudes of your answers in N.) T = 0 Draw a modified force diagram, including distances. Write the equation for rotational equilibrium, with torques about the left end of the plank. Solve your equation for T. N Fx = 0 X Apply Newton's second law to the plank in the horizontal direction. Solve for Fx, the horizontal force exerted by the wall on the plank. You will need your value for T to calculate your answer. N 0 Fy Goodies = Apply Newton's second law to the plank in the vertical direction. Solve for F Fyr wall on the plank. You will need your value for T to calculate your answer. N the vertical force exerted by the (b) If the cable can withstand a maximum tension of 750 N, what is the maximum distance (in m) the bear can walk before the cable breaks? (Measure this distance from the wall.) 0 X Use the torque equation you derived to calculate T in part (a), and solve it for x. Use the maximum value of T. m

Physics for Scientists and Engineers: Foundations and Connections
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter14: Static Equilibrium, Elasticity, And Fracture
Section: Chapter Questions
Problem 82PQ
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A 700 N bear is standing on a metal plank supported by the cable shown in the figure. At the end of the plank hangs a basket weighing 80 N. Assume the plank is uniform, weighs 200 N, is 7.00 m long, and 0 = 60.0°. (a) When the bear is at x = 1.05 m, find the tension in the cable supporting the plank and the components of the force exerted by the wall on the left end of the plank. (Enter the magnitudes of your answers in N.) T = 0 Draw a modified force diagram, including distances. Write the equation for rotational equilibrium, with torques about the left end of the plank. Solve your equation for T. N Fx = 0 X Apply Newton's second law to the plank in the horizontal direction. Solve for Fx, the horizontal force exerted by the wall on the plank. You will need your value for T to calculate your answer. N 0 Fy Goodies = Apply Newton's second law to the plank in the vertical direction. Solve for F Fyr wall on the plank. You will need your value for T to calculate your answer. N the vertical force exerted by the (b) If the cable can withstand a maximum tension of 750 N, what is the maximum distance (in m) the bear can walk before the cable breaks? (Measure this distance from the wall.) 0 X Use the torque equation you derived to calculate T in part (a), and solve it for x. Use the maximum value of T. m
Transcribed Image Text:A 700 N bear is standing on a metal plank supported by the cable shown in the figure. At the end of the plank hangs a basket weighing 80 N. Assume the plank is uniform, weighs 200 N, is 7.00 m long, and 0 = 60.0°. (a) When the bear is at x = 1.05 m, find the tension in the cable supporting the plank and the components of the force exerted by the wall on the left end of the plank. (Enter the magnitudes of your answers in N.) T = 0 Draw a modified force diagram, including distances. Write the equation for rotational equilibrium, with torques about the left end of the plank. Solve your equation for T. N Fx = 0 X Apply Newton's second law to the plank in the horizontal direction. Solve for Fx, the horizontal force exerted by the wall on the plank. You will need your value for T to calculate your answer. N 0 Fy Goodies = Apply Newton's second law to the plank in the vertical direction. Solve for F Fyr wall on the plank. You will need your value for T to calculate your answer. N the vertical force exerted by the (b) If the cable can withstand a maximum tension of 750 N, what is the maximum distance (in m) the bear can walk before the cable breaks? (Measure this distance from the wall.) 0 X Use the torque equation you derived to calculate T in part (a), and solve it for x. Use the maximum value of T. m
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