11.58 · A nonuniform fire escape ladder is 6.0 m long when extended to the icy alley below. It is held at the top by a frictionless pivot, and there is negligible frictional force from the icy surface at the bottom. The ladder weighs 250 N, and its center of gravity is 2.0 m along the ladder from its bottom. A mother and child of total weight 750 N are on the ladder 1.5 m from the pivot. The ladder makes an angle 0 with the horizontal. Find the magnitude and direction of (a) the force exerted by the icy alley on the ladder and (b) the force exerted by the ladder on the pivot. (c) Do your answers in parts (a) and (b) depend on the angle 0?

11.58 · A nonuniform fire escape ladder is 6.0 m long when extended to the icy alley below. It is held at the top by a frictionless pivot, and there is negligible frictional force from the icy surface at the bottom. The ladder weighs 250 N, and its center of gravity is 2.0 m along the ladder from its bottom. A mother and child of total weight 750 N are on the ladder 1.5 m from the pivot. The ladder makes an angle 0 with the horizontal. Find the magnitude and direction of (a) the force exerted by the icy alley on the ladder and (b) the force exerted by the ladder on the pivot. (c) Do your answers in parts (a) and (b) depend on the angle 0?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter10: Rotational Motion

Section: Chapter Questions

Problem 28P: A uniform beam resting on two pivots has a length L = 6.00 m and mass M = 90.0 kg. The pivot under...

See similar textbooks

Similar questions

What three factors affect the torque created by a force relative to a specific pivot point?
A 70 kg man’s arm, including the hand, can be modeled as a 75-cm-long uniform cylinder with a mass of 3.5 kg. In raising both his arms, from hanging down to straight up, by how much does he raise his center of gravity?
A uniform plank of length 5.0 m and weight 225 N rests horizontally on two supports, with 1.1m of the plank hanging over the right support. To what distance x can a person who weighs 377 N walk on the overhanging part of the plank before it just begins to tip?
A uniform plank of length 5 m and weight 200 N rests horizontally on two supports with 1.1 m of the plank hanging over the right support. To what distance x, can a person who weights 430 N walk on the overhanging part of the plank before it just starts to tip? What is the net torque around the pivot point (take the FR support as the pivot point)?
A 900 N man, 165 cm tall lies on a center of gravity reaction board with his feet at the left end. The reaction board is 206 cm long, weighs 249.2 N, has a uniform distribution of mass, and is supported at both ends by knife-edges. At the right end the knife-edge rests on a scale which reads585 N. Assuming the CG of the reaction board is 103 cm from A, what percentage of his height is his center of gravity (measured from his feet?)
A uniform L = 6.71 m long horizontal beam that weighs WB= 363N is attached to a wall by a pin connection that allows the beam to rotate. Its far end is supported by a cablewith tension Tthat makes an angle of 50.0° with the horizontal, and a person of weight WP= 427.5N is standing d = 2.38m from the pin. Find the magnitude of the force R exertedon the beam by the wall if the beam is in equilibrium. A)532N B)534N C)536N D)538N
From the step ladder shown in the figure, sides AC and CE are each 2.44 m long and hinged at point C. Bar BD is a tie-rod 0.762 m long, halfway up. A man weighing 845 N climbs 1.8 m along the ladder. Assuming the floor is frictionless and neglecting the mass of the ladder, find the tension (in N) in the tie-rod.
a uniform beam of length 12.0 m is supported by a horizontal cable and a hinge at angle u =50.0°. The tension in the cable is 400 N. In unit-vector notation, what are (a) the gravitational force on the beam and (b) the force on the beam from the hinge?
A uniform rod of weight 5 N and length 1 m is pivoted at a point 20 cm from one of its ends. A weight is hung from the other end so that the rod balances horizontally. What is the value of the weight?
An irregularly shaped object 10 m long is placed with each end on a scale. If thescale on the right reads 69 N and the scale on the left reads 93 N, how far fromthe left is the center of gravity.A) 4.3 m, B) 13 m, C) 7.4 m, D) 5.7 m
A meter stick is pivoted at its 50cm mark but does not balance because of non-uniformities in its material that cause its center of gravity to be displaced from its geometrical center. However, when weights of 150g and 300g are placed at the 10cm and 75cm marks, respectively, balance is obtained. The weights are then interchanged, and balance is again obtained by shifting the pivot point to the 43cm mark. Find the mass of the meter stick and the location of its center of gravity.
A uniform stick AB can be balanced on a knife edge 10 cm from one end when a weight of 200N is hung from that end. When the knife edge is removed 5cm further from that end, the 200 N weight has to be moved to a point 8.75 cm from the knife edge to obtain a balance. Find the length of the stick and it's weight.