PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Chapter 16, Problem 1P
To determine
The magnitudes of the velocity and acceleration of a point
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Students have asked these similar questions
The center O of the disk has the velocity and
acceleration shown in the figure. If the disk
rolls without slipping on the horizontal
surface, determine the velocity of A and the
acceleration of B for the instant represented.
Assume a = 4.8 m/s², v = 3.2 m/s, b = 0.7 m, 0
= 43⁰.
a
A
B
V
y
|
|
L
x
= 20 rad/s,
When the gear makes 29 revolutions, it reaches an angular velocity of w
starting from rest. Determine the time required, in seconds, to reach the given number of
revolutions. Answer:
The disk with radius r = 0.09 m is rotating at a constant angular velocity of ω = 0.9 rad/s (counterclockwise) about the fixed pin support at O. For the instant shown, find the relative acceleration component (aB/A)n, where (aB/A)n = {(ax)i+(ay)j} m/s2.
Choose the correct answer:
a) ax=-0.292; ay=-0.0729
b) ax=0.786; ay=0.196
c) ax=0.292; ay=0.0729
d) ax=0.0182; ay=0.00349
e) ax=-0.786; ay=-0.196
Chapter 16 Solutions
PEARSON ETEXT ENGINEERING MECH & STATS
Ch. 16 - When the gear rotates 20 revolutions, it achieves...Ch. 16 - The flywheel rotates with an angular velocity of ...Ch. 16 - The flywheel rotates with an angular velocity of (...Ch. 16 - The bucket is hoisted by the rope that wraps...Ch. 16 - A wheel has an angular acceleration of = (0.5 )...Ch. 16 - For a short period of time, the motor turns gear A...Ch. 16 - Prob. 1PCh. 16 - The angular acceleration of the disk is defined by...Ch. 16 - The disk is originally rotating at 0 = 12 rad/s....Ch. 16 - Prob. 4P
Ch. 16 - The disk is driven by a motor such that the...Ch. 16 - A wheel has an initial clockwise angular velocity...Ch. 16 - The disk starts from rest and is given an angular...Ch. 16 - The disk starts from rest and is given an angular...Ch. 16 - The disk starts at o = 1 rad/s when = 0, and is...Ch. 16 - A motor gives gear A an angular acceleration of A...Ch. 16 - A motor gives gear A an angular acceleration of A...Ch. 16 - Prob. 19PCh. 16 - Prob. 20PCh. 16 - If the motor turns gear A with an angular...Ch. 16 - Prob. 23PCh. 16 - Prob. 26PCh. 16 - Prob. 27PCh. 16 - Prob. 28PCh. 16 - At the instant shown, gear A is rotating with a...Ch. 16 - Determine the distance the load W is lifted in t =...Ch. 16 - Prob. 34PCh. 16 - Prob. 35PCh. 16 - Prob. 36PCh. 16 - The rod assembly is supported by ball-and-socket...Ch. 16 - Determine the velocity and acceleration of the...Ch. 16 - Prob. 54PCh. 16 - If roller A moves to the right with a constant...Ch. 16 - Prob. 8FPCh. 16 - Determine the angular velocity of the spool. The...Ch. 16 - If crank OA rotates with an angular velocity of =...Ch. 16 - Prob. 11FPCh. 16 - Prob. 12FPCh. 16 - At the instant shown the boomerang has an angular...Ch. 16 - The link AB has an angular velocity of 3 rad/s....Ch. 16 - The slider block C moves at 8 m/s down the...Ch. 16 - Determine the angular velocity of links AB and BC...Ch. 16 - The pinion gear A rolls on the fixed gear rack B...Ch. 16 - The pinion gear rolls on the gear racks. If B is...Ch. 16 - Prob. 71PCh. 16 - Prob. 72PCh. 16 - Prob. 77PCh. 16 - Prob. 13FPCh. 16 - Prob. 14FPCh. 16 - If the center O of the wheel is moving with a...Ch. 16 - If cable AB is unwound with a speed of 3 m/s, and...Ch. 16 - Prob. 17FPCh. 16 - Determine the angular velocity of links BC and CD...Ch. 16 - Prob. 81PCh. 16 - The conveyor belt is moving to the right at v = 8...Ch. 16 - The conveyor belt is moving to the right at v = 12...Ch. 16 - Prob. 92PCh. 16 - Prob. 93PCh. 16 - As the car travels forward at 80 ft/s on a wet...Ch. 16 - The crankshaft AB rotates at AB = 50 rad/s about...Ch. 16 - At the instant shown, end A of the rod has the...Ch. 16 - Prob. 20FPCh. 16 - The gear rolls on the fixed rack B. At the instant...Ch. 16 - At the instant shown, cable AB has a velocity of 3...Ch. 16 - At the instant shown, the wheel rotates with an...Ch. 16 - At the instant shown, wheel A rotates with an...Ch. 16 - At a given instant the bottom A of the ladder has...Ch. 16 - At a given instant the top B of the ladder has an...Ch. 16 - At a given instant the roller A on the bar has the...Ch. 16 - The rod is confined to move along the path due to...Ch. 16 - At a given instant the slider block A is moving to...Ch. 16 - Determine the angular acceleration of link CD if...Ch. 16 - The disk rolls without slipping such that it has...Ch. 16 - The slider block moves with a velocity of vB = 5...Ch. 16 - The slider block moves with a velocity of vB = 5...Ch. 16 - Water leaves the impeller of the centrifugal pump...Ch. 16 - Prob. 134PCh. 16 - Prob. 135PCh. 16 - Rod AB rotates counterclockwise with a constant...Ch. 16 - Prob. 137PCh. 16 - At the instant shown rod AB has an angular...Ch. 16 - Peg B on the gear slides freely along the slot in...Ch. 16 - Prob. 144PCh. 16 - A ride in an amusement park consists of a rotating...Ch. 16 - Prob. 146PCh. 16 - If the slider block C is fixed to the disk that...Ch. 16 - Prob. 1RPCh. 16 - Starting at (A)0 = 3 nad/s, when = 0, s = 0,...Ch. 16 - Prob. 3RPCh. 16 - Prob. 4RPCh. 16 - Prob. 5RPCh. 16 - At the instant shown, link AB has an angular...Ch. 16 - Prob. 7RPCh. 16 - At the given instant member AB has the angular...
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- The disk rotates about the shaft S, while the shaft is turning about the z axis at a rate of ωz = 5.5 rad/s , which is increasing at α = 2.5 rad/s2 . No slipping occurs. Determine the x, y, and z components of the velocity of point B on the disk at the instant shown using scalar notation. Determine the x, y, and z components of the acceleration of point B on the disk at the instant shown using scalar notation.arrow_forwardThe relative acceleration of point A with respect to point B of the disk in Figure 1 is given asaA/B = 3.347i + 1.283j. If the disk rolls without slipping, determine the angular velocity andangular acceleration of the disk at the instant. If, in other case, the disk rolls with slipping andthe vM = 2 m/s to the left and vO = 2 m/s to the right, do you think that the process ofdetermining its angular velocity and angular acceleration becomes easier or harder?arrow_forwardIn the system on the picture the bigger wheel is not moving, the smaller wheel is connected to the center of the bigger wheel with the rod and it can rotate around the bigger wheel. the smaller wheel starts its movement with angular acceleration ε=10rad/s^2. find the acceleration of point B (marked in a drawing) after 1 full rotation. The radius of the bigger wheel is equal to 0,3m. The radius of the smaller wheel is equal to 0,1m.arrow_forward
- The 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_forwardThe center O of the disk has the velocity and acceleration shown in the figure. If the disk rolls without slipping on the horizontal surface, determine the velocity of A and the acceleration of B for the instant represented. Assume a = 6.5 m/s², v = 2.3 m/s, b = 0.4 m, 0 = 40°. Answers: VA = i+ i j) m/s i + i j) m/s² ag = i (iarrow_forwardThe hoop is cast on the rough surface such that it has an angular velocity ω = 5 rad/s and an angular acceleration α = 5 rad/s2 . Also, its center has a velocity vO = 3 m/s and a deceleration aO = 5 m/s2 .(Figure 1). Determine the acceleration of point A at this instant. Enter the x and y components of the acceleration separated by a comma.arrow_forward
- The disk rotates about the z axis at a constant rate w₂ = 0.5 rad/s without slipping on the horizontal plane. Determine the velocity and the acceleration of point A on the disk. @z = 0.5 rad/s 300 mm - 150 mmarrow_forwardA 3 in radius disk spins at the constant ω1 - 5 radian/s and a constant rate ω2= 4 radians/s. If the angle is 45 degrees, find the absolute acceleration at point P.arrow_forward5/7 The rectangular plate is rotating about its corner axis through O with a constant angular velocity = 10 rad/s. Determine the magnitudes of the velocity v and acceleration a of the corner A by (a) using the scalar relations and (b) using the vector relations. 400 mm 300 mm x Barrow_forward
- the motion of an oscillating crank is defined by the relation Θ=6sin(πt/4)-sin3 where 'Θ' is expressed in radians and 't' in seconds. Determine the angular displacement, the angular velocity, and the angular acceleration of the crank when (a) t=0s, (b)=2s. (c) Draw the graph of the angular displacement, angular velocity and angular acceleration from t=0 to t =2. (d) solve what time will the crank starts to decelerate? Hint: at the same time the angular acceleration becomes zero before becoming (-).arrow_forwardThe angular velocity of the disk is defined by w = (5t² + 2) rad/s, where t is in seconds. Determine the magnitudes of the velocity and acceleration of point A on the disk when t = 0.5 s. 0.8 marrow_forwardThe disk rotates with the angular motion shown. Determine the angular velocity and angular acceleration of the slotted link AC at this instant. The peg at B is fixed to the disk. w = 6 rad/s a = 10 rad/s² A 30° 0.3 m 0.75 m 30° Barrow_forward
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