Vector Mechanics for Engineers: Statics and Dynamics
11th Edition
ISBN: 9780073398242
Author: Ferdinand P. Beer, E. Russell Johnston Jr., David Mazurek, Phillip J. Cornwell, Brian Self
Publisher: McGraw-Hill Education
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Chapter 8.2, Problem 8.60P
To determine
Find the magnitude of the force P required to start closing the door.
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1.6 m
A
360 mm
8.75 A hot-metal ladle and its contents have a mass of 50 Mg. Know-
ing that the coefficient of static friction between the hooks and the pinion is
0.30, determine the tension in cable AB required to start tipping the ladle.
В
Fig. P8.75
As shown, a man is leaning against the side of a cabinet with an unusual design. The cabinet's main body weighs 25 kg, while the upper rectangular portion weighs 3 kg. Assume the coefficients of friction between the cabinet and the floor are μs = 0.33 and μk = 0.28. Knowing that the force P exerted by the man's shoulder on the horizontal cabinet:
2. Determine which of the following is the CORRECT equilibrium equation obtained from the system's force diagram.
A. ΣF = 0: N - 245.25 = 0B. ΣF = 0: P - μ N = 0C. ΣM = 0: 245.25(0.55) + 29.43(0.2) - N(x) - P(1.5) = 0
8.59 A 6° steel wedge is driven into the end of an ax handle to lock
the handle to the ax head. The coefficient of static friction between the wedge
and the handle is 0.35. Knowing that a force P of magnitude 60 lb was re-
quired to insert the wedge to the equilibrium position shown, determine the
magnitude of the forces exerted on the handle by the wedge after force P is
removed.
Fig. P8.59
Chapter 8 Solutions
Vector Mechanics for Engineers: Statics and Dynamics
Ch. 8.1 - Knowing that the coefficient of friction between...Ch. 8.1 - Two blocks A and B are connected by a cable as...Ch. 8.1 - A cord is attached to and partially wound around a...Ch. 8.1 - A 40-kg packing crate must be moved to the left...Ch. 8.1 - Prob. 8.1PCh. 8.1 - Prob. 8.2PCh. 8.1 - Prob. 8.3PCh. 8.1 - Prob. 8.4PCh. 8.1 - Prob. 8.5PCh. 8.1 - The 20-lb block A hangs from a cable as shown....
Ch. 8.1 - The 10-kg block is attached to link AB and rests...Ch. 8.1 - Considering only values of less than 90,...Ch. 8.1 - Prob. 8.9PCh. 8.1 - Prob. 8.10PCh. 8.1 - The 50-lb block A and the 25-lb block B are...Ch. 8.1 - The 50-lb block A and the 25-lb block B are...Ch. 8.1 - Three 4-kg packages A, B, and C are placed on a...Ch. 8.1 - Prob. 8.14PCh. 8.1 - A uniform crate with a mass of 30 kg must be moved...Ch. 8.1 - A worker slowly moves a 50-kg crate to the left...Ch. 8.1 - Prob. 8.17PCh. 8.1 - Prob. 8.18PCh. 8.1 - Prob. 8.19PCh. 8.1 - Prob. 8.20PCh. 8.1 - Prob. 8.21PCh. 8.1 - Prob. 8.22PCh. 8.1 - Prob. 8.23PCh. 8.1 - Prob. 8.24PCh. 8.1 - Prob. 8.25PCh. 8.1 - Prob. 8.26PCh. 8.1 - The press shown is used to emboss a small seal at...Ch. 8.1 - The machine base shown has a mass of 75 kg and is...Ch. 8.1 - Prob. 8.29PCh. 8.1 - Prob. 8.30PCh. 8.1 - Prob. 8.31PCh. 8.1 - Prob. 8.32PCh. 8.1 - Prob. 8.33PCh. 8.1 - Prob. 8.34PCh. 8.1 - Prob. 8.35PCh. 8.1 - Prob. 8.36PCh. 8.1 - A 1.2-m plank with a mass of 3 kg rests on two...Ch. 8.1 - Two identical uniform boards, each with a weight...Ch. 8.1 - Prob. 8.39PCh. 8.1 - Prob. 8.40PCh. 8.1 - A 10-ft beam, weighing 1200 lb, is to be moved to...Ch. 8.1 - (a) Show that the beam of Prob. 8.41 cannot be...Ch. 8.1 - Two 8-kg blocks A and B resting on shelves are...Ch. 8.1 - Prob. 8.44PCh. 8.1 - Prob. 8.45PCh. 8.1 - Two slender rods of negligible weight are...Ch. 8.1 - Two slender rods of negligible weight are...Ch. 8.2 - The machine part ABC is supported by a...Ch. 8.2 - Prob. 8.49PCh. 8.2 - Prob. 8.50PCh. 8.2 - Prob. 8.51PCh. 8.2 - Prob. 8.52PCh. 8.2 - Solve Prob. 8.52 assuming that the end of the beam...Ch. 8.2 - Prob. 8.54PCh. 8.2 - Prob. 8.55PCh. 8.2 - Block A supports a pipe column and rests as shown...Ch. 8.2 - Prob. 8.57PCh. 8.2 - Prob. 8.58PCh. 8.2 - Prob. 8.59PCh. 8.2 - Prob. 8.60PCh. 8.2 - Prob. 8.61PCh. 8.2 - Prob. 8.62PCh. 8.2 - Prob. 8.63PCh. 8.2 - A 15 wedge is forced under a 50-kg pipe as shown....Ch. 8.2 - A 15 wedge is forced under a 50-kg pipe as shown....Ch. 8.2 - Prob. 8.66PCh. 8.2 - Prob. 8.67PCh. 8.2 - Prob. 8.68PCh. 8.2 - Prob. 8.69PCh. 8.2 - Prob. 8.70PCh. 8.2 - Prob. 8.71PCh. 8.2 - The position of the automobile jack shown is...Ch. 8.2 - Prob. 8.73PCh. 8.2 - Prob. 8.74PCh. 8.2 - Prob. 8.75PCh. 8.2 - Prob. 8.76PCh. 8.3 - A lever of negligible weight is loosely fitted...Ch. 8.3 - Prob. 8.78PCh. 8.3 - 8.79 and 8.80 The double pulley shown is attached...Ch. 8.3 - Prob. 8.80PCh. 8.3 - 8.81 and 8.82 The double pulley shown is attached...Ch. 8.3 - Prob. 8.82PCh. 8.3 - Prob. 8.83PCh. 8.3 - The block and tackle shown are used to lower a...Ch. 8.3 - Prob. 8.85PCh. 8.3 - Prob. 8.86PCh. 8.3 - Prob. 8.87PCh. 8.3 - 8.87 and 8.88 A lever AB of negligible weight is...Ch. 8.3 - Prob. 8.89PCh. 8.3 - Prob. 8.90PCh. 8.3 - Prob. 8.91PCh. 8.3 - 8.92 Knowing that a couple of magnitude 30 N·m is...Ch. 8.3 - Prob. 8.93PCh. 8.3 - Prob. 8.94PCh. 8.3 - Prob. 8.95PCh. 8.3 - Prob. 8.96PCh. 8.3 - Solve Prob. 8.93 assuming that the normal force...Ch. 8.3 - Prob. 8.98PCh. 8.3 - Prob. 8.99PCh. 8.3 - A 900-kg machine base is rolled along a concrete...Ch. 8.3 - Prob. 8.101PCh. 8.3 - Prob. 8.102PCh. 8.4 - A rope having a weight per unit length of 0.4...Ch. 8.4 - Prob. 8.104PCh. 8.4 - Two cylinders are connected by a rope that passes...Ch. 8.4 - Prob. 8.106PCh. 8.4 - Prob. 8.107PCh. 8.4 - Prob. 8.108PCh. 8.4 - A band belt is used to control the speed of a...Ch. 8.4 - Prob. 8.110PCh. 8.4 - The setup shown is used to measure the output of a...Ch. 8.4 - A flat belt is used to transmit a couple from drum...Ch. 8.4 - Prob. 8.113PCh. 8.4 - 8.114 Solve Prob. 8.113 assuming that the belt is...Ch. 8.4 - The speed of the brake drum shown is controlled by...Ch. 8.4 - The speed of the brake drum shown is controlled by...Ch. 8.4 - Prob. 8.117PCh. 8.4 - Bucket A and block C are connected by a cable that...Ch. 8.4 - Prob. 8.119PCh. 8.4 - Prob. 8.120PCh. 8.4 - 8.121 and 8.123 A cable is placed around three...Ch. 8.4 - Prob. 8.122PCh. 8.4 - Prob. 8.123PCh. 8.4 - Prob. 8.124PCh. 8.4 - Prob. 8.125PCh. 8.4 - Prob. 8.126PCh. 8.4 - Prob. 8.127PCh. 8.4 - The 10-lb bar AE is suspended by a cable that...Ch. 8.4 - Prob. 8.129PCh. 8.4 - Prove that Eqs. (8.13) and (8.14) are valid for...Ch. 8.4 - Complete the derivation of Eq. (8.15), which...Ch. 8.4 - Prob. 8.132PCh. 8.4 - Solve Prob. 8.113 assuming that the flat belt and...Ch. 8 - 8.134 and 8.135 The coefficients of friction are S...Ch. 8 - Prob. 8.135RPCh. 8 - Prob. 8.136RPCh. 8 - A slender rod with a length of L is lodged between...Ch. 8 - The hydraulic cylinder shown exerts a force of 3...Ch. 8 - Prob. 8.139RPCh. 8 - Bar AB is attached to collars that can slide on...Ch. 8 - Two 10 wedges of negligible weight are used to...Ch. 8 - A 10 wedge is used to split a section of a log....Ch. 8 - Prob. 8.143RPCh. 8 - A lever of negligible weight is loosely fitted...Ch. 8 - In the pivoted motor mount shown, the weight W of...
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- A lever of negligible weight is loosely fitted onto a 75-min-diameter fixed shaft. It is observed that the lever will just start rotating if a 3-kg mass is added at c . Determine the coefficient of static friction between the shaft and the lever.arrow_forwardProblem 8.33 The man having a weight of 200 lb pushes horizontally on the crate. The coefficient of static friction between the 450-lb crate and the floor is μ = 0.3 and between his shoes and the floor is μ's = 0.6. Determine if the man can move the crate. Part A Determine the force that tends to move the man to the right. Express your answer to three significant figures and include the appropriate units. Part B Determine the magnitude of the maximum force due to friction that opposes the tendency of the man's motion. Express your answer to three significant figures and include the appropriate units. Part C Can he move the crate? Explain your reasoning. 10 of 10 3 ftarrow_forwardW = 10 N B W=10 N PROBLEM 8.36 Two 10-N blocks A and B are connected by a slender rod of negligible weight. The coefficient of static friction is 0.30 between all surfaces of contact, and the rod forms an angle = 30°. with the vertical. (a) Show that the system is in equilibrium when P=0. (b) Determine the largest value of P for which equilibrium is maintained.arrow_forward
- A lever AB of negligible weight is loosely fitted onto a 2.5-in.-diameter fixed shaft. Knowing that the coefficient of static friction between the fixed shaft and the lever is 0.15, determine the force P required to start the lever rotating counterclockwise.arrow_forwardThe coefficient of static friction µs between the 111-lb body and the 18° wedge is 0.17. Determine the magnitude of the force P required to begin raising the 111-lb body if (a) rollers of negligible friction are present under the wedge, as illustrated, and (b) the rollers are removed and the coefficient of static friction μs = 0.17 applies at this surface as well. Answers: (a) P = (b) P = M. 18° 111 lb lb lbarrow_forwardThis is specifically a Statics problem. A 75-kg cabinet is mounted on casters which can be locked to prevent their rotation. The coefficient of static friction between each caster and the floor is 0.32. Assuming that the casters at both A and B are locked, determine a) the force P required to move the cabinet to the right, and b) the largest allowable value of h if the cabinet is not to tip over.arrow_forward
- What weight W must be suspended through the fixed pulley shown to start motion to the left of the 1000-N wedge under the 2,500-N block? The angle of friction of all contact surfaces is 10⁰.arrow_forwardb.7arrow_forwardProblem 4.15 As illustrated in Fig. 4.62, consider a simple traction device applied to the leg of a patient such that the cable of the pulley makes an angle a = 35° with the hori- zontal. The leg is in a cast and the coefficient of friction between the cast and the bed is µ = 0.45. The weight of the leg is W = 180 N. Determine the tension in the cable. Answer: T = 75 N yarrow_forward
- For the design of the band brake shown, determine the magnitude of the couple M required to turn the pipe in the V-block against the action of the flexible band. A force P = 25 lb is applied to the lever, which is pivoted about O. The coefficient of friction between the band and the pipe is 0.30, and that between the pipe and the block is 0.40. The weights of the parts are negligible. Express your answer in units of in-lb. B M 10" 45% 30° 30°4" A 15"- Parrow_forwardPROBLEM 6: A 6-m long ladder weighing 600 N is shown. It is required to determine the horizontal force P applied at C to hold the ladder from sliding. The coefficient of friction between the ladder and the contact surfaces at A and B is 0.20. (a) Determine the reaction at A. (b) Determine the reaction at B. (c) Determine the required force P. 1.5 m P A 30° 4.5 marrow_forwardA lever AB of negligible weight is loosely fitted onto a 2.5-in.-diameter fixed shaft. Knowing that the coefficient of static friction between the fixed shaft and the lever is 0.15, determine the force P required to start the lever rotating counterclockwise.arrow_forward
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