PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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The cars on the amusement-park ride rotate around the axle at A with a constant angular
velocity wa/f
= 2 rad/s, measured relative to the frame AB. At the same time the frame rotates
around the main axle support at B with a constant angular velocity wf = 1 rad/s. Determine the
velocity and acceleration of the passenger at C at the instant shown.
D
8 ft-
WA/f = 2 rad/s/
8 ft
15 ft
wf = 1 rad/s
O)B
X
The member OA of the industrial robot telescopes
and pivots about the fixed axis at point O. At
the instant shown, 6 = 60°, 6 = 1.2 rad/s, 6 =0.8
rad/s2, OA 0.9 m, OA 0.5 m/s, and OA =
-6 m/s2. Determine the magnitudes of the velocity
and acceleration of joint A of the robot. Also, sketch
the velocity and acceleration of A and determine
the angles which these vectors make with the posi-
tive x-axis. The base of the robot does not revolve
about a vertical axis.
1.1 m
0.9 m
15°
The two V-belt pulleys form an integral unit
and rotate about the fixed axis at O. At a
certain instant, point A on the belt of the
smaller pulley with a distance of DA = 143
mm has a velocity VA = 2.8 m/s, and point B
on the belt of the larger pulley with a
distance of DB = 900 mm has an acceleration
ag = 43 m/s? as shown. For this instant
determine the magnitude of the acceleration
ac of point C in m/s? if Rc = 374 mm.
ав
В
DB
UA
Rc
A
DA
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- The member OA of the industrial robot telescopes and pivots about the fixed axis at point O. At the instant shown, 0 = 60°, 6 = 1.2 rad/s, 60.8 rad/s2, OA = 0.9 m, OA 0.5 m/s, and OA = -6 m/s2. Determine the magnitudes of the velocity and acceleration of joint A of the robot. Also, sketch the velocity and acceleration of A and determine the angles which these vectors make with the posi- tive x-axis. The base of the robot does not revolve %3D about a vertical axis. 1.1 m. 0.9 m 15° Parrow_forwardThe two rotor blades of 770-mm radius rotate about the shaft at O mounted in the sliding block. The acceleration of the block is aO = 5.2 m/s2. If θ˙θ˙ = 0 and θ¨θ¨ = 4.2 rad/s2 when θ = 0, find the magnitude of the acceleration of the tip A of the blade for this instant..arrow_forwardRotation of the radially slotted arm is governed by θ=0.2t+0.02t3 where θ is in radians and t in seconds. Simultaneously, the power screw in the arm engages the slider B and controls its distance from O according to r=0.2+0.04t2, where r is in meters and t in seconds. Solve for the x component of radius, in m, when t=3 secs. Round your answer to 3 decimal placarrow_forward
- 2 Determine the angular velocity of links AB and BC at the instant 0 = 30°. Also, sketch the position of link BC when 0 = 55°, 45°, and 30° to show its general plane motion. B 1 ft 3 ft °c = 6 ft/sarrow_forward4. The man pulls on the rope at a constant rate of o.5 m/s. Determine the angular velocity and angular acceleration of beam AB when e = 60°. The beam rotates about A. Neglect the thickness of the beam and the size of the pulley. 6m 6 marrow_forwardAt the instant shown, the arm OA of the conveyor belt is rotating about the Z axis with a constant angular velocity w₁ = 6.5 rad/s, while at the same instant the arm is rotating upward at a constant rate w₂ = 3.6 rad/s. (Figure 1) Figure 7=6ft 10-450 Part A If the conveyor is running at a rate=5 ft/s, which is increasing at f=8 ft/s², determine the velocity of the package Pat the instant shown. Neglect the size of the package. Enter the I, y, and 2 components of the velocity in feeet per second to three significant figures separated by commas. IVE] ΑΣΦΩΤΟ Vp = Submit Part B ap= Request Answer Submit Determine the acceleration of the package P at the instant shown. Enter the I, y, and 2 components of the acceleration in feet per second squared to three significant figures separated by commas. ΠΙΑΣΦΩΠ Request Answer vec 6 A < Return to Assignment vec ? Provide Feedback ft/s ? ft/s²arrow_forward
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