In order to uncoil electrical wire from a spool fixed to a truck, a worker drives to the left with a speed of vA = 4 m/s. At the same time, a second worker holds the cable as he walks to the right. Knowing that at the instant shown the thickness of wire on the spool is 50 mm and that the 0.6-m-radius spool has an angular velocity of 8 rad/s, determine (a) the instantaneous center of rotation of the spool, (b) the velocity of point D on the spool, (c) the speed of the second worker B.

Q: 15.170 A basketball player shoots a free throw in such a way that his shoul- der can be considered a…

A:

Q: Arm AB has a constant angular velocity of 16 rad/s counterclockwise. At the instant when 0 = 0,…

A: Arm AB has a constant angular velocity of 16 rad/s counterclockwise. At the instant when, thita =…

Q: The 200-mm-radius disk rolls without sliding on the surface shown. Knowing that the distance BG is…

A: According to the given data r=200mm=0.2m BG=160mm=0.16m AB=800mm=0.8m Angular velocity and angular…

Q: 5 Both 6-in.-radius wheels roll without slipping on the horizontal surface. Knowing that the…

A: The wheels D and E roll without slipping on the horizontal surface. Hence, velocities of point of…

Q: 3) -1-0.75m- 1-0.75 m Each of the two slender rods shown is 0.75 m long and has a mass of 6 kg. If…

A: Given-To Find-(a) the angular velocity of rod AB when B = 20 degrees.(b) the velocity of point D at…

Q: A painter is half way up a 10-m ladder when the bottom starts sliding out from under him. Knowing…

A: Given data as per question Length of ladder =10 m  Angle = 60°  vA = 2 m/s

Q: The motion of an oscillating flywheel is defined by the relation 0=00e- πtcos 4, πt where 0 is…

A: Calculating angular displacement (θ), angular velocity(ω) and angular acceleration (α):

Q: NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to…

A:

Q: Consider the portion of an excavator shown. At the instant under consideration, the hydraulic…

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Q: 1 Q2.The crane shown rotates at the constant rate w = 0.3 rad/s; simultaneously, the telescoping…

A:

Q: A 3-In.-radius drum is rigidly attached to a 5-in.-radius drum as shown. One of the drums rolls…

A: We start by determining the drum's angular velocity and its relationship to velocity as follows:The…

Q: A straight rack rests on a gear of radius r= 60 mm and is attached to a block B as shown. Knowing…

A:

Q: Two friction disks A and B are to be brought into contact without slipping when the angular velocity…

A: Write the given data:

Q: A series of small machine components are moved by means of a conveyor belt that passes over a 6-in.…

A: given r = 6 in Vₐ = 15 in/s aA = 8 in/s²

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Q: The spring-loaded plunger F has a velocity of 3 m/s in the direction indicated. A roller at corner E…

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Q: The bent rod ABCDE rotates about a line joining Points A and E with a constant angular velocity of 6…

A: Given Angular velocity = 6 rad/s Counter clockwise from A and clockwise from E To find Velocity at C…

Q: Knowing that at the instant shown crank BC has a constant angular velocity of 90 rpm…

A:

Q: PROBLEM 15.82 An overhead door is guided by wheels at A and B that roll ir horizontal and vertical…

A:

Q: Knowing that at the instant shown the rod attached at A has an angular velocity of 4 radis…

A: Given that: Angular velocity of the rod attached at A is 4 rad/s and angular acceleration is 2…

Q: The platform is rotating about the vertical axis such that at any instant its angular position is 0…

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Q: NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to…

A:

Q: A 3-in.-radius drum is rigidly attached to a 5-in.-radius drum as shown. One of the drums rolls…

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Q: At the instant shown, the arm OA of the conveyor belt is rotating about the z axis with a constant…

A: Draw the given diagram.

Q: The rated speed of drum B of the belt sander shown is 2400 rpm. When the power is turned off, it is…

A: Given Data: The radius of the drum B is r = 25 mm. The radius of the drum C is r = 25 mm. The rated…

Q: The bent rod ABCDE rotates about a line joining Points A and E with a constant angular velocity of 6…

A:

Q: Problem 16.122 Member AB has the angular velocity ωAB = 2 rad/s and angular acceleration αAB = 7…

A:

Q: A 0.2 m B 0.25 m 0.2 m -0.6 m -

A: Given:  ωAB=15 rad/s clockwise ICR or instantaneous centre of rotation for a rigid body is a point…

Q: Knowing that at the instant shown crank BC has a constant angular velocity of 90 rpm…

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Q: PROBLEM 15.1 The brake drum is attached to a larger flywheel that is not shown. Th motion of the…

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Q: The brake drum is attached to a larger flywheel that is not shown. The motion of the brake drum is…

A: Given, θ=36t-1.6t2

Q: The rectangular block shown rotates about the diagonal OA with a constant angular velocity of 7.48…

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Q: Knowing that at the instant shown the angular velocity of rod DE is 15 rad/s clockwise, write down…

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Q: the angular velocity and angular acceleration of the idler pulley, (b) the total acceleration of the…

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Q: 2. An overhead door is guided by wheels at A and B that roll in horizontal and vertical tracks.…

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Q: Velocity sensors are placed on a satellite that is moving only in the xy plane. Knowing that at the…

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Q: 2. In the arrangement shown, a combination of four cylinders is used to move block F. The velocity…

A: Given data: The initial velocity of point A is UA = 0 m/s. The velocity of point A after t = 3 s is…

Q: A. A falling object requires 1.5 sec to travel the last 30m before hitting the ground. From what…

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Q: An overhead door is guided by wheelsn at A and B that roll in horizontal and vertical tracks.…

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Q: = Gear B has an angular acceleration of a b 0.15t² rad/s², where t is in seconds, and an initial…

A: Angular acceleration of gear B→αB=0.15t2  ...............equation1→dωBdt=0.15t2→ωBf-ωBi=0.15t33…

Q: NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to…

A:

Q: NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to…

A: N=600 rpmt=4s

Q: The 18-in.-radius fly wheel is rigidly attached to a 1.5-in. -radius shaft that can roll along…

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Q: elocity of the plate C is VC=6.0 m/s to the right. The velocity of the plate D is VD=2.0 m/s to the…

A:

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.