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Tension of the cable and acceleration of the truck


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1.A uniform horizontal beam of length 1.4 m and weight 64 N is attached to a wall by a hinge ...

ft end and by a cable which makes an angle of θ= 18 ∘ with respect to the beam at its right end. A sign of weight 40 N hangs from the right end of the beam. How large is the tension force in the cable?
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2.An elevator WEIGHS 1.0 x 10⁴ N. {Part A} Draw a free body diagram for each part of this questions ...

to show which force is larger [5 marks] {Part B} Determine the MASS of the elevator [2 marks] {Part C} The elevator begins to accelerate UPWARDS from rest at 5.0 m/s². What is the force tension in the cable? [3 marks] {Part D} The same elevator is moving UPWARDS and starts to DECELERATE at 3.0 m/s². What is the force tension in the cable? [3 marks] {Part E} The elevator moves DOWN at CONSTANT velocity at 10 m/s. What is the force tension in the cable? [2 marks] {Part F} The elevator cable snaps (and everyone screams!). What are the forces working on the elevator now? Draw a diagram [2 marks]
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3.A uniform beam of length L and mass m shown in Figure P12.16 is inclined at an angle u to the horizontal. Its ...

izontal. Its upper end is connected to a wall by a rope, and its lower end rests on a rough, horizontal sur- face. The coefficient of static friction between the beam and surface is ms. Assume the angle u is such that the static friction force is at its maximum value. (a) Draw a force diagram for the beam. (b) Using the condition of rotational equilibrium, find an expression for the tension T in the rope in terms of m, g, and u. (c) Using the condition of trans- lational equilibrium, find a second expression for T in terms of ms, m, and g. (d) Using the results from parts (a) through (c), obtain an expression for ms L u Figure P12.16 Q/C S vertical component of this force. Now solve the same problem from the force diagram from part (a) by com- puting torques around the junction between the cable and the beam at the right-hand end of the beam. Find (e) the vertical component of the force exerted by the pole on the beam, (f) the tension in the cable, and (g) the horizontal component of the force exerted by the pole on the beam. (h) Compare the solution to parts (b) through (d) with the solution to parts (e) through (g). Is either solution more accurate? 19. Sir Lost-a-Lot dons his armor and sets out from the castle on his trusty steed (Fig. P12.19). Usually, the drawbridge is lowered to a horizontal position so that the end of the bridge rests on the stone ledge. Unfor- tunately, Lost-a-Lot’s squire didn’t lower the draw- involv- ing only the angle u. (e) What happens if the ladder is lifted upward and its base is placed back on the ground slightly to the left of its position in Figure P12.16? Explain.
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1.AU MAT 120 Systems of Linear Equations and Inequalities Discussion

mathematicsalgebra Physics