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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3.
The ball has a mass of 30 kg and a speed
v = 4 m/s at the instant it is at its lowest point, 6 = 0°.
%3D
Determine the tension in the cord and the rate at which the
ball's speed is decreasing at the instant 0 = 20°. Neglect
the size of the ball.
4 m
The spring is not stretched or compressed when “s=0.8m" and the 11
kg block which is subjected to a force of 105 N has a speed of 5.5 m/s
down the smooth plane.
Using "THE PRINCIPLE OF WORK AND ENERGY", find the distance "s"
when the block STOPS.
k = 200 N/m
5 m/s
F = 100 N
30°
The horizontal force P = 40-10t N (t is the time measured in seconds) is applied to the 2-
kg collar that slides along the inclined rod.
2 kg-
-P = (40– 10r)N
At time t = 0, the position coordinate of the collar is x = 0, and its velocity is vo = 3 m/s
directed down the rod. Find the time T and the speed Sof the collar when it returns to the
position x = 0 for the first time. Neglect friction.
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 collar with mass of 0.7 kg is released from rest at position A and travels down the smooth circular rod in the vertical plane. If the velocity of the collar at Point C is 3.3 m, determine the tangential component of acceleration of the collar (in m) at Point C. The spring has a stiffness of k = 140 N and an unstretched length of 0.5 meters. Consider R = 1.7 meters, 0 = 33°, and g =10 A m R/2 D В Rarrow_forwardThe ball of mass m is guided along the vertical circular path r = 4cos(0)meters using the arm OA. If the arm has a constant angular velocity Ô00 = 1rad/s determine the angle 0 < 45° at which the ball starts to leave the surface of the semicylinder. Neglect friction and the size of the ball. Enter the angle in degrees in the box below.arrow_forwardThe 4-lb collar is compressed against a spring a distance of 6 inches and then releasedfrom rest. The spring can be considered elastic and has a constant of k = 10 lb/in. Thespring is not adhered to the collar, and can be considered massless, so it will notextend into tension. Plot the acceleration of the collar as a function of x for x = 0 to 7 inches.What is the velocity as the collar leaves the spring?arrow_forward
- The 150-lb car of an amusement partk ride is connected to a rotating telescopic boom. When r = 15 ft, the car is moving on a horizontal circular path with a speed of 30 ft/s. If the boom is shortened at a rate of 3 ft/s, determine the speed of the car when r = 10 ft. Also, find the work done by the axial for F along the boom. Neglect the size of the car and the mass of the boom.arrow_forwardThe 15-kg collar has a velocity of 10 m/s at A while travelling towards B along the smooth guide. The spring which is connected to the collar has an unstretched length of 125 mm and stiffness k= 57 N/m. Determine the collar's speed when it reaches point B, which is located just before the end of the curved portion of the rod. Take point B as the datum.arrow_forwardThe 5.27 kg collar B rests on the frictionless arm AA! The collar is held in place by the rope attached to drum D and rotates about O in a horizontal plane. The linear velocity of the collar B is increasing according to v = 0.2 t2 where v is in m/s and tis in seconds. Find the tension in the rope and the force of the bar on .the collar if 5 s,r= 0.558 m and 0 = 58° A A' Darrow_forward
- If the ball has a mass of 40 kg and a speed of 5 m/s at the instant it is at the lowest point (θ (angle) = 0o), (a) determine the tension in the cord at this instant. (b) Also, when θ= 30o, determine the tension in the cord.arrow_forwardFind the acceleration of the blocks and the tension in the chord if both have a mass equal to 100 kg. The two blocks rest on inclined surfaces at 30 degrees and 60 degrees respectively. Assume μ = 0.20.arrow_forwardIf the ball has a mass of 25 kg, determine the tension in the cord atthe lowest point θ = 0 °with an initial speed v = 4 m/s. Also,determine the angle θ to which the ball swings and momentarilystops. Neglect the size of the ball.arrow_forward
- The spring of constant k = 120 N/m is unstretched when the slider of mass m = 1.6 kg passes position B. If the slider is released fre rest in position A, determine its speed as it passes points B and C. What is the normal force exerted by the guide on the slider at position C? Neglect friction between the mass and the circular guide, which lies in a vertical plane. The distance R = 0.95 m. m B Answers Vg = m/s Vc= i m/s Nc=arrow_forwardThe motorcycle has a mass of 0.5-Mg and a negligible size. It passes point 'A' traveling with a speed of 15m/s, which is increasing at a constant rate of 1.5m/s. Determine the resultant frictional force exerted by the road on the tires at this instant.arrow_forward400 mm The spring attached to the mass of m = 0. 5 kg sliding collar has a stiffness of k = 0.21 kN/m and a free length of 150 mm. If the speed of the collar in position A is 4 m/s to the right, determine the total energy and the speed of the collar in position B, Neglecet 100 mm friction. 200arrow_forward
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