PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Chapter 13, Problem 5RP
To determine
The tension developed in the cord and the rate decrease in the speed of the ball when
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Please do not rely too much on AI, because its answer may be wrong. Please consider it carefully and give your own answer!!!!! You can borrow ideas from AI, but please do not believe its answer.Very very grateful! ( If you write by hand or don't use AI, I'll give you a big thumbs up )
Please do not copy other's work,i will be very very grateful!!Please do not copy other's work,i will be very very grateful!!
A thin uniform rod of mass m and length 2r rests in a smooth hemispherical bowl of radius r. A
moment M
=
mgr
horizontal plane.
is applied to the rod. Assume that the bowl is fixed and its rim is in the
HINT: It will help you to find the length l of that portion of the rod that remains outside the
bowl.
M
2r
Ꮎ
a) How many degrees of freedom does this system have?
b) Write an equation for the virtual work in terms of the angle 0 and the motion of the
center of mass (TF)
c) Derive an equation for the variation in the position of the center of mass (i.e., Sŕƒ)
a. HINT: Use the center of the bowl as the coordinate system origin for the problem.
d) In the case of no applied moment (i.e., M = 0), derive an equation that can be used to
solve for the equilibrium angle of the rod. DO NOT solve the equation
e) In the case of an applied moment (i.e., M:
=
mgr
4
-) derive an equation that can be used to
solve for the equilibrium angle of the rod. DO NOT solve the equation.
f) Can the angle 0 and…
Solve this problem and show all of the work
Chapter 13 Solutions
PEARSON ETEXT ENGINEERING MECH & STATS
Ch. 13 - Prob. 1FPCh. 13 - If motor M exerts a force of F = (10t2 + 100) N on...Ch. 13 - A spring of stiffness k = 500 N/m is mounted...Ch. 13 - Prob. 4FPCh. 13 - Block B rests upon a smooth surface. If the...Ch. 13 - The 6-lb particle is subjected to the action of...Ch. 13 - If blocks A and B of mass 10 kg and 6 kg...Ch. 13 - Determine the time needed to pull the cord at B...Ch. 13 - Prob. 12PCh. 13 - Block A has a weight of 8 lb and block B has a...
Ch. 13 - The 2-Mg truck is traveling at 15 m/s when the...Ch. 13 - The motor lifts the 50-kg crate with an...Ch. 13 - Prob. 18PCh. 13 - Prob. 19PCh. 13 - The 50-kg block A is released from rest. Determine...Ch. 13 - Prob. 28PCh. 13 - Prob. 29PCh. 13 - Prob. 31PCh. 13 - The tractor is used to lift the 150-kg load B with...Ch. 13 - Prob. 35PCh. 13 - Prob. 39PCh. 13 - The 400-lb cylinder at A is hoisted using the...Ch. 13 - Prob. 43PCh. 13 - Prob. 46PCh. 13 - Prob. 47PCh. 13 - Prob. 48PCh. 13 - Prob. 51PCh. 13 - The block rests at a distance of 2 m from the...Ch. 13 - Determine the maximum speed that the jeep can...Ch. 13 - A pilot weighs 150 lb and is traveling at a...Ch. 13 - The sports car is traveling along a 30 banked road...Ch. 13 - If the 10-kg ball has a velocity of 3m/ s when it...Ch. 13 - Prob. 12FPCh. 13 - Prob. 53PCh. 13 - The 2-kg block B and 15-kg cylinder A are...Ch. 13 - Determine the maximum constant speed at which the...Ch. 13 - Cartons having a mass of 5 kg are required to move...Ch. 13 - The 2-kg spool S fits loosely on the inclined rod...Ch. 13 - Prob. 59PCh. 13 - Prob. 60PCh. 13 - At the instant B = 60, the boys center of mass G...Ch. 13 - Prob. 62PCh. 13 - Prob. 66PCh. 13 - The 150-lb man lies against the cushion for which...Ch. 13 - The 150-lb man lies against the cushion for which...Ch. 13 - Prob. 76PCh. 13 - Prob. 80PCh. 13 - Prob. 81PCh. 13 - Determine the constant angular velocity of the...Ch. 13 - The 0.2-kg ball is blown through the smooth...Ch. 13 - The 2-Mg car is traveling along the curved road...Ch. 13 - The 0.2-kg pin P is constrained to move in the...Ch. 13 - Determine the magnitude of the resultant force...Ch. 13 - The path of motion of a 5-lb particle in the...Ch. 13 - The boy of mass 40 kg is sliding down the spiral...Ch. 13 - Using a forked rod, a 0.5-kg smooth peg P is...Ch. 13 - The collar has a mass of 2 kg and travels along...Ch. 13 - The forked rod is used to move the smooth 2-lb...Ch. 13 - Prob. 109PCh. 13 - Prob. 110PCh. 13 - Prob. 113PCh. 13 - A communications satellite is in a circular orbit...Ch. 13 - Prob. 115PCh. 13 - Prob. 117PCh. 13 - Prob. 118PCh. 13 - Prob. 119PCh. 13 - The rocket is in free flight along an elliptical...Ch. 13 - Prob. 123PCh. 13 - Prob. 124PCh. 13 - Prob. 129PCh. 13 - Prob. 130PCh. 13 - Prob. 131PCh. 13 - The rocket is traveling around the earth in free...Ch. 13 - Prob. 1RPCh. 13 - Prob. 2RPCh. 13 - Block B rests on a smooth surface. If the...Ch. 13 - Prob. 4RPCh. 13 - Prob. 5RPCh. 13 - The bottle rests at a distance of 3ft from the...Ch. 13 - Prob. 7RP
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- = The frame shown is fitted with three 50 cm diameter frictionless pulleys. A force of F = 630 N is applied to the rope at an angle ◊ 43°. Member ABCD is attached to the wall by a fixed support at A. Find the forces indicated below. Note: The rope is tangent to the pully (D) and not secured at the 3 o'clock position. a b •C *су G E e d BY NC SA 2013 Michael Swanbom Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 81 cm b 50 cm с 59 cm d 155 cm For all answers, take x as positive to the right and positive upward. At point A, the fixed support exerts a force of: A = + ĴN and a reaction couple of: →> ΜΑ Member CG is in Select an answer magnitude У as k N-m. and carries a force of N.arrow_forwardThe lower jaw AB [Purple 1] and the upper jaw-handle AD [Yellow 2] exert vertical clamping forces on the object at R. The hand squeezes the upper jaw-handle AD [2] and the lower handle BC [Orane 4] with forces F. (Member CD [Red 3] acts as if it is pinned at D, but, in a real vise-grips, its position is actually adjustable.) The clamping force, R, depends on the geometry and on the squeezing force F applied to the handles. Determine the proportionality between the clamping force, R, and the squeezing force F for the dimensions given. d3 d4 R 1 B d1 2 d2 D... d5 F 4 F Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value d1 65 mm d2 156 mm d3 50 mm 45 d4 d5 113 mm 30 mm R = Farrow_forwardA triangular distributed load of max intensity w =460 N/m acts on beam AB. The beam is supported by a pin at A and member CD, which is connected by pins at C and D respectively. Determine the reaction forces at A and C. Enter your answers in Cartesian components. Assume the masses of both beam AB and member CD are negligible. cc 040 BY NC SA 2016 Eric Davishahl W A C D -a- B Ул -b- x Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value α 5.4 m b 8.64 m C 3.24 m The reaction at A is A = i+ ĴN. λ = i+ Ĵ N. The reaction at C is C =arrow_forward
- 56 Clamps like the one shown are commonly used in woodworking applications. This clamp has the dimensions given in the table below the figure, and its jaws are mm thick (in the direction perpendicular to the plane of the picture). a.) The screws of the clamp are adjusted so that there is a uniform pressure of P = 150 kPa being applied to the workpieces by the jaws. Determine the force carried in each screw. Hint: the uniform pressure can be modeled in 2-D as a uniform distributed load with intensity w = Pt (units of N/m) acting over the length of contact between the jaw and the workpiece. b.) Determine the minimum vertical force (parallel to the jaws) required to pull either one of the workpieces out of the clamp jaws. Use a coefficient of static friction between all contacting surfaces of μs = 0.56 and the same clamping pressure given for part (a). 2013 Michael Swanbom A B C a Values for dimensions on the figure are given in the following table. Note the figure may not be to scale.…arrow_forwardDetermine the force in each member of the space truss given F=5 kN. Use positive to indicate tension and negative to indicate compression. F E Z -2 m. B 3 m C 5 m 3 m A -4 m. AB = KN FAC = FAD = KN KN KN FBC = KN FBD FBE = = KN Farrow_forwardA short brass cyclinder (denisty=8530 kg/m^3, cp=0.389 kJ/kgK, k=110 W/mK, and alpha=3.39*10^-5 m^2/s) of diameter 4 cm and height 20 cm is initially at uniform temperature of 150 degrees C. The cylinder is now placed in atmospheric air at 20 degrees C, where heat transfer takes place by convection with a heat transfer coefficent of 40 W/m^2K. Calculate (a) the center temp of the cylinder, (b) the center temp of the top surface of the cylinder, and (c) the total heat transfer from the cylinder 15 min after the start of the cooling. Solve this problem using the analytical one term approximation method. (Answer: (a) 45.7C, (b)45.3C, (c)87.2 kJ)arrow_forward
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