Engineering Mechanics: Dynamics (14th Edition)
14th Edition
ISBN: 9780133915389
Author: Russell C. Hibbeler
Publisher: PEARSON
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Textbook Question
Chapter 19.2, Problem 2PP
Determine the angular impulse about point O for t = 3 s
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5/63 End A of the 24-in. link has a velocity of 10 ft/sec in
the direction shown. At the same instant end B has a
velocity whose magnitude is 12 ft/sec as indicated.
Find the angular velocity w of the link in two ways.
VA = 10 ft/sec 24"
A
30°
Problem 5/63
B
В
VB = 12 ft/sec
Link AB is driven with the angular velocity shown and rotates about point A. Link DCE is free
to rotate about point D. Link BC connects AB to the midpoint of DCE. Find the angular
velocity of DCE and the velocity of point E at the instant shown.
T
4 ft
4 ft
|9ft
E
C
D
B
3 ft
A
@AB
rad
S
= 10-
?
Angular velocity of
link DCE
== -10-
WCD
Velocity of E
ft
S
VE = 80i-
rad
S
The angular velocity of link AB Is WAB
=4 rad/s The distances shown in the figure are dgc =355 mm and daB = 430 mm.
dgc.
dan
Determine the velocity of the link at B at the instant 0= 58. and 4 = 63.
Determine the velocity of the collar at C at the instant e-58 and o-630, Determine also, the angular velocity of the link CB at the instant shown
Chapter 19 Solutions
Engineering Mechanics: Dynamics (14th Edition)
Ch. 19.2 - Determine the angular momentum of the 100-kg disk...Ch. 19.2 - Determine the angular impulse about point O for t...Ch. 19.2 - If it is subjected to a couple moment of M = (3t2)...Ch. 19.2 - The 300-kg wheel has a rad1us of gyration about...Ch. 19.2 - If rod OA of negligible mass is subjected lo the...Ch. 19.2 - Gears A and B of mass 10 kg and 50 kg have radii...Ch. 19.2 - The 50-kg spool is subjected to a horizontal force...Ch. 19.2 - The reel has a weight of 150 lb and a radius of...Ch. 19.2 - The rigid body (slab) has a mass m and rotates...Ch. 19.2 - At a given Instant, the body has a linear momentum...
Ch. 19.2 - Show that if a slab is rotating about a fixed axis...Ch. 19.2 - The 40-kg disk is rotating at = 100 rad/s. When...Ch. 19.2 - The Impact wrench cons1sts of a slender 1-kg rod...Ch. 19.2 - The airplane is traveling in a straight line with...Ch. 19.2 - The double pulley consists of two wheels which are...Ch. 19.2 - The assembly weighs 10 lb and has a radius of...Ch. 19.2 - The disk has a weight of 10 lb and is pinned at...Ch. 19.2 - The 30-kg gear A has a radius of gyration about...Ch. 19.2 - Determine the angular velocity of the pulley when...Ch. 19.2 - The 40-kg roll of paper rests along the wall where...Ch. 19.2 - The slender rod has a mass m and is suspended at...Ch. 19.2 - The rod of length L and mass m lies on a smooth...Ch. 19.2 - A 4-kg disk A is mounted on arm BC. which has a...Ch. 19.2 - The frame of a tandem drum roller has a weight of...Ch. 19.2 - The 100-lb wheel has a radius of gyration of kG =...Ch. 19.2 - The 4-kg slender rod rests on a smooth floor If it...Ch. 19.2 - The double pulley consists of two wheels which are...Ch. 19.2 - The 100-kg spool is resting on the inclined...Ch. 19.2 - The spool has a weight of 30 lb and a radius of...Ch. 19.2 - The two gears A and B have weights and radii of...Ch. 19.2 - The hoop (thin ring) has a mass of 5 kg and is...Ch. 19.2 - The 30-kg gear is subjected to a force of P =...Ch. 19.2 - The 30-lb flywheel A has a radius of gyration...Ch. 19.2 - If the shaft is subjected to a torque of M = (...Ch. 19.2 - The double pulley consists of two wheels which are...Ch. 19.2 - The crate has a mass mc. Determine the constant...Ch. 19.4 - The turntable T of a record player has a mass of...Ch. 19.4 - The 10-g bullet having a velocity of 800 m/s is...Ch. 19.4 - The 10-g bullet having a velocity of 800 m/s is...Ch. 19.4 - The circular disk has a mass m and is suspended at...Ch. 19.4 - The 80-kg man is holding two dumbbells while...Ch. 19.4 - The platform swing consists of a 200-lb flat plate...Ch. 19.4 - The 2-kg rod ACB supports the two 4-kg disks at...Ch. 19.4 - The satellite has a mass of 200 kg and a radius of...Ch. 19.4 - Disk A has a weight of 20 lb. An inextensible...Ch. 19.4 - The plank has a weight of 30 lb, center of gravity...Ch. 19.4 - The 12-kg rod AB is pinned to the 40-kg disk. If...Ch. 19.4 - A thin rod of mass m has an angular velocity o...Ch. 19.4 - Tests of impact on the fixed crash dummy are...Ch. 19.4 - The vertical shaft is rotating with an angular...Ch. 19.4 - The mass center of the 3-lb ball h3s a velocity of...Ch. 19.4 - Prob. 44PCh. 19.4 - The 10-lb block is sliding on the smooth surface...Ch. 19.4 - Determine the height hat which a billiard ball of...Ch. 19.4 - The pendulum consists of a 15-kg solid ball and...Ch. 19.4 - The 4-lb rod AB is hanging in the vertical...Ch. 19.4 - Determine the largest angular velocity 1 the disk...Ch. 19.4 - The solid ball of mass m is dropped with a...Ch. 19.4 - The wheel has a mass of 50 kg and a radius of...Ch. 19.4 - The wheel has a mass of 50 kg and a radius of...Ch. 19.4 - The rod of mass m and length L is released from...Ch. 19.4 - Prob. 55PCh. 19.4 - A ball having a mass of 8 kg and initial speed of...Ch. 19.4 - A solid ball with a mass m is thrown on the ground...Ch. 19.4 - The pendulum consists of a 10-lb solid ball and...Ch. 19.4 - The cable is subjected to a force of P = (10t2)...Ch. 19.4 - The space capsule has a mass of 1200 kg and a...Ch. 19.4 - The tire has a mass of 9 kg and a rad1us of...Ch. 19.4 - The wheel having a mass of 100 kg and a radius of...Ch. 19.4 - The spool has a weight of 30 lb and a radius of...Ch. 19.4 - Spool B is at rest and spool A is rotating at 6...Ch. 19.4 - A thin disk of mass m has an angular velocity 1...Ch. 19.4 - Prob. 8RP
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- The wheel slips as it rolls (in the same direction as point O). If vo = 6 ft/sec and if the magnitude of the velocity of A with respect to B is 3 ft/sec, locate the instantaneous center C of zero velocity and find the magnitude of the velocity of point P. A B D 9" P 5" VO v of P = ft/secarrow_forwardThe r-y coordinate system is body fixed with respect to the bar. The angle 0 (in radians) is given as a function of time by 0 = 0.1+0.08t². The a coordinate of the sleeve A (in feet) is given as a function of time by x = 3+0.06t3. Determine the velocity of the sleeve at t = 4 s relative to a nonrotating reference frame with its origin at B. (Although you are determining the velocity of A relative to a nonrotating reference frame, your answer will be expressed in components in terms of the body-fixed reference frame.) (Figure 1) Enter the a and y components of the velocity separated by a comma. Πν ΑΣφ It vec ? VA 2, VA y = 2.88,4.92 ft/s Submit Previous Answers Request Answer X Incorrect; Try Again; 6 attempts remaining Figure < Return to Assignment Provide Feedback 1 of 1arrow_forward5. If link AB is rotating at WAB = 12 rad/s, determine the angular velocities of links BC and CD at the instant e = 60°.arrow_forward
- Determine the angular velocity of links AB and BC at the instant θ = 30°.arrow_forwardIn the mechanism shown, crank rotates at 50 rpm clockwise direction. Find velocities of the points B and C and the angular velocities of links AB, BQ and BC. 100 в 140 OA = 60 АВ - 60 50 rpm BQ = 100 BC = 130 All dimensions are in mmarrow_forward2. Problem 16-60: The slider block C moves at 8 m/s down the inclined groove. Determine the angular velocities of links AB and BC, at the instant shown. 2 m В -45° 2 m C vc = 8 m/sarrow_forward
- Problem 3 If link AB is rotating at AB 6 rad/s, determine the angular velocities of links BC and CD at the 60°. instant 0 = B 250 mm 30° A WA8 = 6 rad/s 300 mm C A 400 mm Darrow_forwardIf the collar at C is moving downward to the left at v(c)=8 m/s, determine the angular velocity of link AB at the instant shown.arrow_forward5. The belt-driven pulley and attached disk are rotating with increasing angular velocity. At a certain instant, PA Up 15 ft/sec and aд an 188 ft/sec². If d 2 ft and R = 2.2 ft, calculate thei velocity and acceleration of point P on the belt for that instant. (up 12.5 ft/sec, ap = 11.42 ft/sec) = v, aarrow_forward
- The posture of the input link 2 is RÃO-120^i mm, and the velocity of point A is V₁ =25^i m/s. Determine the first-order kinematic coefficients for the mechanism. Find the angular velocities of links 3 and 4. RB04 = RBA = 90 mm. A 1 B y 1 Xarrow_forward1. The slotted link is pinned at 0, and as a result of the constant angular velocity é = 6 rad's it drives the peg P for a short distance along the spiral guide r = (0.6 0) m where e is in radians. When e = 80 deg, Find: a. Find e, é, ë,r,r, ř. (in radians) b. The radial components, transverse components, and magnitudes of the velocity [4maeie). - The radial components, transverse components, and magnitudes of the acceleration of P at the instant. asks). %3D 0.8 m r=0.6 0 ô =6 rad/sarrow_forwardIf rod CD is rotating with an angular velocity wCD. At the instant shown in the figure, which letter represents the IC point of rod BC M B Lengths: AB =4 ft BC=3 ft CD =2 ft EC=1.5 43.19 @CD 60° 45° O Earrow_forward
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