Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382869
Author: HIBBELER
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 4.8, Problem 51P
Determine the angle ϕ at which the applied force P should act on the pipe so that the magnitude of P is as small as possible for pulling the pipe up the incline. What is the corresponding value of P? The pipe weighs W and the slope α is known. Express the answer in terms of the angle of kinetic friction, θ = tan−1 μk.
Probs. 4-50/51
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
The rope running over two fixed cylinders carries the 4-kg mass at one end. Determine the force P that must be applied to the other end to initiate motion. The coefficient of static friction between the rope and the cylinders is 0.15.
BISECTION METHOD
Determine the smallest force the man must exerton the rope in order to move the 80-kg crate Also,what is the angle θ at this moment? Thecoefficient of static friction between the crate andthe floor is μs = 0.3.
The car has a mass of 1.6 MgMg and center of mass at GG. If the coefficient of static friction between the shoulder of the road and the tires is μsμsmu_s = 0.40, determine the greatest slope θθ the shoulder can have without causing the car to slip or tip over if the car travels along the shoulder at constant velocity.
Draw the free-body diagram of the car.
Draw the vectors starting at the black dots. The location and orientation of the vectors will be graded.
Chapter 4 Solutions
Statics and Mechanics of Materials (5th Edition)
Ch. 4.4 - Draw the free-body diagram of each object. Prob....Ch. 4.4 - Determine the horizontal and vertical components...Ch. 4.4 - Determine the horizontal and vertical components...Ch. 4.4 - The truss is supported by a pin at A and a roller...Ch. 4.4 - Determine the components of reaction at the fixed...Ch. 4.4 - The 25-kg bar has a center of mass at G. If it is...Ch. 4.4 - Determine the reactions at the smooth contact...Ch. 4.4 - Determine the components of the support reactions...Ch. 4.4 - Determine the reactions at the supports. Prob. 4-2Ch. 4.4 - Determine the horizontal and vertical components...
Ch. 4.4 - Determine the reactions at the supports. Prob. 4-4Ch. 4.4 - Determine the reactions at the supports. Prob. 4-5Ch. 4.4 - Determine the reactions at the supports. Prob. 4-6Ch. 4.4 - Determine the magnitude of force at the pin A and...Ch. 4.4 - The dimensions of a jib crane are given in the...Ch. 4.4 - The dimensions of a jib crane are given in the...Ch. 4.4 - The smooth pipe rests against the opening at the...Ch. 4.4 - The beam is horizontal and the springs are...Ch. 4.4 - The 10-kg uniform rod is pinned at end A. If it is...Ch. 4.4 - The man uses the hand truck to move material up...Ch. 4.4 - Three uniform books, each having a weight W and...Ch. 4.4 - Determine the reactions at the pin A and the...Ch. 4.4 - If rope BC will fail when the tension becomes 50...Ch. 4.4 - Prob. 17PCh. 4.4 - Prob. 18PCh. 4.4 - The cantilever footing is used to support a wall...Ch. 4.4 - Prob. 20PCh. 4.4 - A boy stands out at the end of the diving board,...Ch. 4.4 - Prob. 22PCh. 4.4 - Prob. 23PCh. 4.4 - Prob. 24PCh. 4.4 - Prob. 25PCh. 4.4 - The man attempts to pull the four wheeler up the...Ch. 4.6 - Draw the free-body diagram of each object.Ch. 4.6 - In each case, write the moment equations about the...Ch. 4.6 - Prob. 7FPCh. 4.6 - Prob. 8FPCh. 4.6 - The rod is supported by smooth journal bearings at...Ch. 4.6 - Determine the support reactions at the smooth...Ch. 4.6 - Determine the force developed in the short link...Ch. 4.6 - Determine the components of reaction that the...Ch. 4.6 - The uniform load has a mass of 600 kg and is...Ch. 4.6 - Due to an unequal distribution of fuel in the wing...Ch. 4.6 - Determine the components of reaction at the fixed...Ch. 4.6 - The 50-lb mulching machine has a center of gravity...Ch. 4.6 - Prob. 30PCh. 4.6 - The uniform concrete slab has a mass of 2400 kg....Ch. 4.6 - Prob. 32PCh. 4.6 - Determine the tension in each cable and the...Ch. 4.6 - The bent rod is supported at A, B, and C by smooth...Ch. 4.6 - Prob. 35PCh. 4.6 - The bar AB is supported by two smooth collars. At...Ch. 4.6 - The rod has a weight of 6 lb/ft. If it is...Ch. 4.6 - The sign has a mass of 100 kg with center of mass...Ch. 4.6 - Both pulleys cite fixed to the shaft and as the...Ch. 4.6 - Both pulleys are fixed to the shaft and as the...Ch. 4.6 - Prob. 41PCh. 4.8 - Determine the friction force at the surface of...Ch. 4.8 - Determine the couple moment M needed to cause...Ch. 4.8 - Prob. 6PPCh. 4.8 - Prob. 7PPCh. 4.8 - Prob. 13FPCh. 4.8 - Determine the minimum force P to prevent the 30-kg...Ch. 4.8 - Determine the maximum force P that can be applied...Ch. 4.8 - Prob. 16FPCh. 4.8 - Prob. 17FPCh. 4.8 - Prob. 18FPCh. 4.8 - Prob. 19FPCh. 4.8 - If the coefficient of static friction at all...Ch. 4.8 - Prob. 21FPCh. 4.8 - Prob. 42PCh. 4.8 - The tractor exerts a towing force T = 400 lb....Ch. 4.8 - The mine car and its contents have a total mass of...Ch. 4.8 - The winch on the truck is used to hoist the...Ch. 4.8 - Prob. 46PCh. 4.8 - The automobile has a mass of 2 Mg and center of...Ch. 4.8 - Prob. 48PCh. 4.8 - Prob. 49PCh. 4.8 - Prob. 50PCh. 4.8 - Determine the angle at which the applied force P...Ch. 4.8 - Prob. 52PCh. 4.8 - The 180-lb man climbs up the ladder and stops at...Ch. 4.8 - The 180-lb man climbs up the ladder and stops at...Ch. 4.8 - The spool of wire having a weight of 300 lb rests...Ch. 4.8 - The spool of wire having a weight of 300 lb rests...Ch. 4.8 - The ring has a mass of 0.5 kg and is resting on...Ch. 4.8 - Determine the smallest force P that must be...Ch. 4.8 - The man having a weight of 200 lb pushes...Ch. 4.8 - The uniform hoop of weight W is subjected to the...Ch. 4.8 - Prob. 61PCh. 4.8 - Prob. 62PCh. 4.8 - Prob. 63PCh. 4.8 - The coefficient of static Friction between the...Ch. 4 - If the roller at B can sustain a maximum load of 3...Ch. 4 - Determine the reactions at the supports A and B...Ch. 4 - Determine the normal reaction at the roller A and...Ch. 4 - Determine the horizontal and vertical components...Ch. 4 - Determine the x, y, z components of reaction at...Ch. 4 - Prob. 6RPCh. 4 - Prob. 7RPCh. 4 - The uniform 60-kg crate C rests uniformly on a...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- The 3600-lb car with rear wheel drive is attempting to push 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. (The car pulling the crate is analyzed in Prob. 7.19.)arrow_forwardThe 75-lb boy stands on the beam and pulls on the cord with a force large enough to just cause him to slip. If the coefficient of static friction between his shoes and the beam is (μs)D = 0.35, determine the following reactions if the beam is uniform and has a weight of 120 lb. Neglect the size of the pulleys and the thickness of the beam. 1 The magnitude of the vertical component reaction at A is Blank 1 lb. 2 The magnitude of the horizontal component reaction at B is Blank 2 lb. 3 The magnitude of the vertical component reaction at B is Blank 3 lb.arrow_forwardFind the minimum force P required for impending motion of the block up the inclined surface, given: Mblock = 65 kg, θ = 52 °, μ = 0.4arrow_forward
- The winch on the truck is used to hoist the garbage bin onto the bed of the truck. If the loaded bin has a weight of 7500 lb and center of gravity at G, determine the force in the cable needed to begin the lift. The coefficients of static friction at A and B are μA = 0.32 and μB = 0.28, respectively. Neglect the height of the support at A.arrow_forwardThe wheel is subjected to a torque of M 50 N m. If the coefficient of kinetic friction between the band brake and the wheel rim is equal to 0.3, determine the smallest horizontal force P that must be applied to the lever to stop the wheel.arrow_forwardThe 2 kg ring is at the rest at point A as shown in the figure. If it is released through the circular rod what will be the highest amount of compression of the spring. Assume there is no friction. Consider the stiffness of the spring as k = 21 kN/m.arrow_forward
- 3. Determine whether the 10 kg block shown is in equilibrium, and find the magnitude and direction of the friction force when P = 40 N and 0 = 20⁰. μ = 0.30 M = 0.25 20°arrow_forwardBoth pulleys are fixed to the shaft and as the shaft turns with constant angular velocity, the power of pulley A is transmitted to pulley B. Determine the horizontal tension T in the belt on pulley B and the x, y, z components ofreaction at the journal bearing C and thrust bearing D if θ = 0°. The bearings are in proper alignment and exert only force reactions on the shaft.arrow_forwardThe shaft has a square-threaded screw with a lead of 8 mm and a mean radius of 15 mm. If it is in contact with a plate gear having a mean radius of 30 mm, determine the resisting torque M on the plate gear which can be overcome if a torque of 7 N⋅m is applied to the shaft. The coefficient of static friction at the screw is μB =0.2. Neglect friction of the bearings located at A and B.arrow_forward
- The mine car and its contents have a total mass of 7.1 Mg and a center of gravity at G . If the coefficient of static friction between the wheels and the tracks is μs = 0.34 when the wheels are locked, find the following: 1 The normal force acting on the front wheels at B is Blank 1 kN when the brakes at both A and B are locked. 2 The normal force acting on the rear wheels at A is Blank 2 kN when the brakes at both A and B are locked. 3 The friction force acting on the front wheels at B is Blank 3 kN when the brakes at both A and B are locked. 4 The friction force acting on the rear wheels at A is Blank 4 kN when the brakes at both A and B are locked. 5 With the given information above, does the car move? Answer with Yes or No only. Blank 5arrow_forwardThe block has a mass of 5 kg and rests on the smooth plane. Determine the unstretched length of the spring.arrow_forwardThe automobile has a mass of 2 Mg and center of mass at G. Determine the towing force F required to move the car if the back brakes are locked and the front wheels are free to roll. Take us=0.3.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L
International Edition---engineering Mechanics: St...
Mechanical Engineering
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:CENGAGE L
Mechanical Design (Machine Design) Clutches, Brakes and Flywheels Intro (S20 ME470 Class 15); Author: Professor Ted Diehl;https://www.youtube.com/watch?v=eMvbePrsT34;License: Standard Youtube License