PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Chapter 13, Problem 62P
To determine
The maximum speed before the girl begins to slip off the merry-go-round.
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A girl, having a mass of (15-kg). sits motionless
relative to the surface of a horizontal platform at a
distance of (5-m) from the platform's center. If the
angular motion of the platform is slowly increased so
that the girl's tangential component of acceleration
can be neglected, determine the maximum speed
which the girl will have before she begins to slip off
the platform. The coefficient of static friction between
the girl and the platform is (0.2).
A 2.2-kg sphere S is being moved in a vertical plane by a robotic arm. When the angle is 36°, the angular velocity of the arm about a
horizontal axis through O is 45 deg/s clockwise and its angular acceleration is 176 deg/s² counterclockwise. In addition, the hydraulic
element is being shortened at the constant rate of 550 mm/s. Determine the necessary minimum gripping force P if the coefficient of
static friction between the sphere and the gripping surfaces is 0.58. Compare P with the minimum gripping force P, required to hold
the sphere in static equilibrium in the 36° position.
1.0 m
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Answers:
P=
Ps=
i
i
N
N
Question (2): The spring-mounted 0.7-kg collar A oscillates along the
horizontal rod, which is rotating at the constant angular rate è = 5 rad/s. At a
certain instant, r is increasing at the rate of 900 mm/s. If the coefficient of
kinetic friction between the collar and the rod is 0.4, calculate the friction force
F exerted by the rod on the collar at this instant.
Vertical
do
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F
D
900mm/s
A
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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- 2. The flatbed railway car travels at the constant speed of 60 km/h around a curve of radius 55 m and bank angle 15°. Determine the smallest static coefficient of friction between the crate and the car that would prevent the crate of mass M from sliding. R = 55 m 15°arrow_forwardA 1.6-kg sphere S is being moved in a vertical plane by a robotic arm. When the angle e is 38, the angular velocity of the arm about a horizontal axis through O is 55 deg/s clockwise and its angular acceleration is 205 deg/s² counterclockwise. In addition, the hydraulic element is being shortened at the constant rate of 440 mm/s. Determine the necessary minimum gripping force Pif the coefficient of static friction between the sphere and the gripping surfaces is 0.51. Compare Pwith the minimum gripping force P; required to hold the sphere in static equilibrium in the 38° position. 1.5 m Answers: P = i Ps= iarrow_forwardA 3.5-kg sphere S is being moved in a vertical plane by a robotic arm. When the angle is 35°, the angular velocity of the arm about a horizontal axis through O is 53 deg/s clockwise and its angular acceleration is 173 deg/s² counterclockwise. In addition, the hydraulic element is being shortened at the constant rate of 420 mm/s. Determine the necessary minimum gripping force P if the coefficient of static friction between the sphere and the gripping surfaces is 0.41. Compare P with the minimum gripping force P, required to hold the sphere in static equilibrium in the 35° position. p 1.8 m Answers: P = P₁ = i i $ N Narrow_forward
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- A 2.6-kg sphere S is being moved in a vertical plane by a robotic arm. When the angle 0 is 39°, the angular velocity of the arm about a horizontal axis through O is 52 deg/s clockwise and its angular acceleration is 220 deg/s2 counterclockwise. In addition, the hydraulic element is being shortened at the constant rate of 520 mm/s. Determine the necessary minimum gripping force Pif the coefficient of static friction between the sphere and the gripping surfaces is 0.61. Compare Pwith the minimum gripping force P, required to hold the sphere in static equilibrium in the 39° position. 2.0 m Answers: P = i P3 = Narrow_forwardA 3.9-kg sphere S is being moved in a vertical plane by a robotic arm. When the angle 0 is 27°, the angular velocity of the arm about a horizontal axis through O is 52 deg/s clockwise and its angular acceleration is 179 deg/s² counterclockwise. In addition, the hydraulic element is being shortened at the constant rate of 600 mm/s. Determine the necessary minimum gripping force P if the coefficient of static friction between the sphere and the gripping surfaces is 0.46. Compare P with the minimum gripping force P required to hold the sphere in static equilibrium in the 27° position. 2.0 m Answers: P= Ps= i Z Z N Narrow_forwardA package of mass m is placed inside a drum that rotates in the verticalplane at the constant angular speed ˙ θ = 1.36 rad/s. If the package reaches the position θ = 45◦ before slipping, determine the static coefficient of friction between the package and the drum.arrow_forward
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