PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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The 80.0-lb boy at A is suspended from the cable that passes over
the quarter circular cliff rock as shown in (Figure 1). Determine if it is
possible for the 195-lb woman to hoist him up. The coefficient of static
friction between the cable and the rock is μ = 0.2, and between the
shoes of the woman and the ground ₂ = 0.8.
Figure
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Part A
Determine the tension in the portion of the cable that the woman is holding.
Express your answer to three significant figures and include the appropriate units.
F=
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Part B
Fmax =
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O
Determine the maximum possible force due to friction that opposes the motion of the woman.
Express your answer to three significant figures and include the appropriate units.
μA
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Determine the Tension in the cable for the 250N block A not to slide down in the inclined plane. Given that the coefficient of static friction in the 45° inclined plane is 0.25 and in the 30° inclined plane is 0.3. (Assume frictionless pulley)
Determine the tension on the cable for the 250N block A not to slide up in the inclined plane. Given that the coefficient of static friction in the 45° inclined plane is 0.25 and in the 30° inclined plane is 0.3. (Assume frictionless pulley)
The man is trying to push the homogeneous 20-kg ladder AB up a wall by applying the horizontal force P. Determine the smallest value of P that would move the ladder. The coefficient of static friction between the ladder and both contact surfaces is 0.3.
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- The 600-lb cable spool is placed on a frictionless spindle that has been driven into the ground. If the force required to start the spool rotating is F = 160 lb, determine the coefficient of friction between the ground and the spool. Neglect the diameter of the spindle compared to the diameter of the spool.arrow_forwardThe brake pads at C and D are pressed against the cylinder by the spring BF. The coefficient of static friction between each pad and the cylinder is 0.15. Find the smallest tension in the spring that would prevent the cylinder from rotating when the clockwise couple M=2200lbin. is applied. Neglect the weights of the members.arrow_forwardThe 60-lb plank rests on a frictionless roller at A, and the 20-lb triangular support BD. Both bodies are homogenous. The coefficients of static friction are 0.4 at B and 0.3 at D. Determine the largest force P that can be applied to the plank without initiating motion.arrow_forward
- Two identical chairs, each weighing 14 lb, are stacked as shown. The center of gravity of each chair is denoted by G. The coefficient of static friction is 0.2 at B (the contact point between the chairs) and 0.35 at A, C, and D. Determine the smallest force P that would cause sliding.arrow_forwardThe 3600-lb car with rear Wheel drive is attempting to tow the 4500-lb crate. The center of gravity of the car is at G, and the coefficients of static friction are 0.6 at B and 0.2 at C. Determine if the crate will slide.arrow_forwardThe coefficient of rolling resistance between the 30-kg lawn roller and the ground is r=0.1. (a) Determine the force P required to pull the roller at a constant speed. (b) What force P would be needed to push the roller at a constant speed?arrow_forward
- Determine the minimum force P to prevent the 30-kg rod AB from sliding. The contact surface at B is smooth, whereas the coefficient of static friction between the rod and the wall at A is = 0. - 4m -arrow_forwardIf each box weighs 150 lb, determine the least horizontal force P that the man must exert on the top box in order to cause motion. The coefficient of static friction between the boxes is μs = 0.54, and the coefficient of static friction between the box and the floor is μ's = 0.24.arrow_forwardBlock A has a mass of 29 kg and block B has a mass of 41 kg. The two blocks are stacked on the ramp with an incline of 0 = 32.2°. Determine the largest horizontal force F that can be applied to block B without either block moving for each of the following two cases: a.) The friction coefficient for the contact between blocks A and B is Hs1 = 0.6 and the friction coefficient for the contact between block A and the ramp is Hs2 = 0.22. b.) The friction coefficient for the contact between blocks A and B is µs1 = 0.6 and the friction coefficient for the contact between block A and the ramp is Hs2 = 0.55. F A Part a) The limiting slip condition occurs at the contact between A and the ramp v The maximum force before either block A or B slips is N Part b) The limiting slip condition occurs at the contact between A and B The maximum force before either block A or B slips is >arrow_forward
- A. Determine the minimum horizontal force P required to hold the crate from sliding down the plane. The crate has a mass of 100 kg and the coefficient of static friction between the crate and the plane is μs =0.25.B. Determine the minimum force P required to push the crate up the plane. The crate has a mass of 50 kg and the coefficient of static friction between the crate and the plane is μs =0.25.arrow_forwardRoss and Rachel are fighting if they were on a break. Ross is trying to get his stuff weighing 150. N placed on an inclined plane by pulling it upwards parallel to the inclined plane with 150. N force. However, Rachel is trying to stop Ross by exerting 50.0 N perpendicular to the inclined plane. The coefficients of friction between the box and the incline are us= 0.450 and = 0.350. Which of the following shows the most ideal force diagram for the object? A. C. 30⁰ 30* 50 N W 50 N 150 N 180 N B. D. 30⁰ 30⁰ 50 N FRIENDS 50 N 50 N 150 N 150 N 150 Narrow_forwardTwo blocks, A and B have masses of 10 kg and 20 kg. The coefficient of static friction between A and B is 0.20, between B and C is 0.10 and at D, 0.15. Block B impends to slide up the 30o inclined plane. Illustrate the free body diagram of block A Illustrate the free body diagram of block B What is the weight of the hanging block that will maintain static equilibrium? Note: Use T1 and T2 for tension on the tight side and slack side of the cord respectively.arrow_forward
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