PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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3-67. Three 10-lb balls and one 15-lb ball are suspended
from the pulley-and-cable system. If the pulleys are
frictionless and the centers of all of them lie in the same
horizontal plane, determine the sag s for equilibrium of the
system.
10 lb
20 in.
20 in.
10 lb
15 lb
20 in.
10 lb
The skid-steer loader has a mass of 1.18 Mg, and in the position shown. The center of mass is at G1. There is a 300-kg stone in the bucket, with center of mass at G2. There is a similar linkage on each side of the loader.
- Determine the magnitude of the reaction of the pair of wheels B on the ground.
- Determine the magnitude of the reaction of the pair of wheels A on the ground.
- Determine the magnitude of the force in the hydraulic cylinder CD.
- Determine the magnitude of the force the force exerted on ED at the pin E.
Consider the following system in static equilibrium. Force vector Facts at a distance
from the pin support at point O. Draw appropriate FBD as necessary. Assume frictionless pulleys
If the reaction forces at O is zero and magnitude F is 169N,
a. Find F and "a". (F need not necessarily be in the 4 quadrant as shown below)
b. Find reaction forces at B.
4m
Im
5m
12
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- The two uniform cylinders, each of weight W, are resting against inclined surfaces. Neglecting friction, draw the free-body diagrams for each cylinder and for the two cylinders together. Count the total number of unknowns and the total number of independent equilibrium equations.arrow_forwardThe 40-kghomogeneous disk is placed on a frictionless inclined surface and held in equilibrium by the horizontal force P and a couple C (C is not shown on the figure). Find P and C.arrow_forwardDraw the FBDs for the beam ABC and the segments AB and BC. Note that the two segments are joined by a pin at B. Count the total number of unknowns and the total number of independent equilibrium equations.arrow_forward
- The three bars are welded together to form a rigid unit that is supported by three slider bearings. Neglecting the weights of the bars, determine the magnitudes of the three bearing reactions caused by the 120-lbin. couple.arrow_forwardThe 14-kN weight is suspended from a small pulley that is free to roll on the cable. The length of the cable ABC is 20 m. Determine the horizontal force P that would hold the pulley in equilibrium in the position x=5m.arrow_forwardThe uniform, 20-kg bar is placed between two vertical surfaces. Assuming sufficient friction at A to support the bar, find the magnitudes of the reactions at A and B.arrow_forward
- The 1200-lb homogeneous block is placed on rollers and pushed up the 10 incline at constant speed. Determine the force P and the roller reactions at A and B.arrow_forwardThe cable of mass 1.8 kg/m is attached to a rigid support at A and passes over a smooth pulley at B. If the mass M = 40 kg is attached to the free end of the cable, find the two values of H for which the cable will be in equilibrium. (Note: The smaller value of H represents stable equilibrium.)arrow_forwardThe homogeneous 20-kg door is held in the horizontal plane by a thrust hinge at O, a hinge at A, and the vertical prop BC. Determine all forces acting on the door.arrow_forward
- The weight of the uniform bar AB is W. The stiffness of the ideal spring attached to B is k, and the spring is unstretched when =80. If W=kL, the bar has three equilibrium positions in the range 0, only one of which is stable. Determine the angle at the stable equilibrium position.arrow_forwardDraw the FBDs for the entire structure and the member BDE. Count the total number of unknowns and the total number of independent equilibrium equations. Note that the cable that supports the 1200-lb weight runs over a smooth peg at D.arrow_forwardThe 80-lb homogeneous plate is supported by a ball-and-socket joint at A, a slider hearing at B, and the cable CE. A 120-lb vertical force is applied to the corner D. Determine the force in the cable and the magnitude of the bearing reaction at B.arrow_forward
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