PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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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/s
4. As shown in the image below, the bucket of the backhoe traces the path of the
cardioid r = C · (1 – cos 0) ft, where constant C= 28. At this instant angle 0
-
= 121°, and the boom is rotating with an angular velocity of 0 = 2.3 rad/s and an
angular acceleration of 0 = 0.19 rad/s?. Determine the magnitude of the
acceleration of the bucket in rad/s². Please pay attention: the numbers may change
since they are randomized. Your answer must include 1 place after the decimal
point.
Your Answer:
Answer
Small objects are released from rest at A and slide down the smooth circular surface of radius R to a conveyor B. Determine the expression for the normal contact force N between the guide and each object in terms of θ and specify the correct angular velocity w (or called θ') of the conveyor pulley of radius r to prevent any sliding on the belt as the objects transfer to the conveyor.
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- 60°- 401 45° PROB. 4-3. B m X 4-3. The motion of the rigid body m is such that the point A moves in a circular path of 1-in. radius about a fixed axis C located at the left of A. The absolute linear velocity of A, represented by the vector Aa₁, is 1.5 ips. The linear velocity of A is decreasing at the rate of 1 in./sec². B has constrained motion along the line XX. Draw the velocity polygon to a scale of K₂ = 1 ips = 1 in./sec2. Determine the and the acceleration polygon to a scale of Ka absolute linear velocity of B, the absolute linear accelerations of A and B, and the absolute angular velocity and acceleration of m. 1 of 3 ad /secarrow_forwardAn external drive system actuates the mechanism by applying a moment M at bearing D. At the instant 0 = 25°, the magnitude of the velocity vector of point C is 20 m and the angular acceleration of link CD is 45 rad in the CCW direction. s2 rad Determine the angular acceleration vector of link CE (in ) at this instant. Consider L = 6 metres. E 2 4 Marrow_forward3. Slider C moves downward at 4 ft/s. Find the angular velocity of links BC and AB, as well as the speed of point В. 3 ft "=4 t/s 2 ftarrow_forward
- If the rod AB rotates counterclockwise with an angular velocity o = 8 rad / s, calculate the velocities of the C and D blocks at the moment shown in the figure below.arrow_forwardThe 16-ft-long cord is attached to the pin at C and passes over the two pulleys at A and D. The pulley at A is attached to the smooth collar that travels along the vertical rod. When sp = 6 ft, the end of the cord at B is pulled downward with a velocity of 3.7 ft/s and is given an acceleration of 3 ft/s². (Figure 1) Figure SA -3 ft -3 ft B D SB ▶ Determine the velocity of the collar at this instant. Express your answer to three significant figures and include the appropriate units. Enter positive value if the velocity is upward and negative value if the velocity is downward. VA = Submit Part B a A = O μA Submit Value Request Answer Determine the acceleration of the collar at this instant. Express your answer to three significant figures and include the appropriate units. Enter positive value if the acceleration is upward and negative value if the acceleration is downward. μA Value Ć Request Answer Units ? Units ?arrow_forward9arrow_forward
- P4. In the Figure, the washer is sliding outward on the rod with a velocity of 3 m/s when its distance from point O is 2 m. Its velocity along the rod is increasing at the rate of 8 m/s. The angular velocity of the rod is 2 radis counterclockwise, and its angular acceleration is 10 rad/s clockwise. Determine the absolute velocity and acceleration of point P on the washer.arrow_forwardCan u help me answer this, Thank youarrow_forwardThe equatorial radius of the earth is 2.0925(10^7 ) ft, and the polar radius is 2.0856(10^7) ft. Determine the gravitational acceleration g at the two locations.arrow_forward
- At the instant shown, the arm OA of the conveyor belt is rotating about the z axis with a constant angular velocity w 6.5 rad/s, while at the same instant the arm is rotating upward at a constant rate w₂=3.9 rad/s (Figure 1) Figure 0-45° ▼ Part A If the conveyor is running at a rate r = 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 z, y, and z components of the velocity in feeet per second to three significant figures separated by commas. vp Part B Submit LVE| ΑΣΦ | 11 ap vec Submit Request Answer Determine the acceleration of the package P at the instant shown Enter the z, y, and a components of the acceleration in feet per second squared to three significant figures separated by commas. IVE] ΑΣΦ | 11 vec 52 C Request Answer ft/s ? ft/s²arrow_forward3 A wheel of radius 0.3 m travels with constant speed 30 m/s around a track of radius 30 m. What is the acceleration of the highest point on one of it? 4 A particle in a central field moves in the spiral orbit (r = c04). Determine the potential energy equation of the orbit in term of E.arrow_forward3. The two sliders at B move freely on OA and the curved rail and are pin connected so they move together as one. The curved rail is described by the equation r = 200 (2- cos ) mm. If the speed of the collar is 400 mm/s when = 160°, what is the angular velocity 0 of the rod OA at this instant? ė A r 600 mm 6 rad/s 0. 400 mm 200 mmarrow_forward
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