Explanation Given information: Angular velocity of bar BC is 3 r a d / s counter clockwise. Angular acceleration of the plate is 2 r a d / s 2 counter clockwise. Plane motion of a particle relative to a rotating frame is defined as v P = v P 1 + v P / F In above equation v P - Absolute velocity of particle P. v P 1 - Velocity of point P 1 of moving frame F Coinciding with P. v P / F - Velocity of P relative to moving frame F. The Coriolis acceleration is a combination of a P = a P 1 + a P / F + a C Where a P - Absolute acceleration of particle P. a P 1 - Acceleration of point P 1 of moving frame F coinciding with P a P / F - Acceleration of P relative to moving frame F a C -The Coriolis acceleration The Coriolis acceleration is defined as a C = 2 Ω × v P / F Calculation: The position vector r B / D of point B relative to point D r B / D = 4 i + 3 j The position vector r B / C of point B relative to point C r B / C = − 6 i + 3 j Angular velocity ω B C of bar BC ω B C = − ( 3 r a d / s ) k Velocity v B of point B v B = ω B C × r B / C = − 3 k × ( − 6 i + 3 j ) = ( 9 i n / s ) i + ( 18 i n / s ) j Assume ω P as the angular velocity of the plate. Assume B 1 as the point on plate coinciding with point B. The velocity v B 1 of point B 1 v B 1 = ω P × r B / D = ω P k × ( 4 i + 3 j ) = − 3 ω P i + 4 ω P j The velocity v B of point B v B = v B 1 + v B / F 9 i + 18 j = − 3 ω P i + 4 ω P j + v B / F j Equate components i : 9 = − 3 ω P j : 18 = 4 ω P + v B / F Solve above equations ω P = − ( 3 r a d / s ) k v B / F = ( 30 i n / s ) j Angular acceleration α B C of rod BC α B C = − ( 2

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ISBN: 9781259977305

Author: BEER, Ferdinand P. (ferdinand Pierre), Johnston, E. Russell (elwood Russell), Cornwell, Phillip J., SELF, Brian P.

Publisher: Mcgraw-hill Education,

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Chapter 15.5, Problem 15.180P

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Angular acceleration of the plate

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Chapter 15.5, Problem 15.179P

Chapter 15.5, Problem 15.181P

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Chapter 15 Solutions

Vector Mechanics For Engineers

Ch. 15.1 - A rectangular plate swings from arms of equal...Ch. 15.1 - Knowing that wheel A rotates with a constant...Ch. 15.1 - The brake drum is attached to a larger flywheel...Ch. 15.1 - The motion of an oscillation flvdee1 is defined by...Ch. 15.1 - The motion of an oscillation flywheel is defined...Ch. 15.1 - Prob. 15.4P Ch. 15.1 - A small grinding wheel is attached to the shaft of...Ch. 15.1 - A connecting rod is supported by a knife-edge at...Ch. 15.1 - When studying whiplash resulting from rear-end...Ch. 15.1 - The angular acceleration of an oscillating disk is...

Ch. 15.1 - The angular acceleration of a shaft is defined by...Ch. 15.1 - Prob. 15.10P Ch. 15.1 - Prob. 15.11P Ch. 15.1 - The rectangular block shown rotates about the...Ch. 15.1 - The rectangular block shown rotates about the...Ch. 15.1 - A circular plate of 120-mm radius is supported by...Ch. 15.1 - In Prob. 15.14, determine the velocity and...Ch. 15.1 - The earth makes one complete revolution around the...Ch. 15.1 - The earth makes one complete revolution on its...Ch. 15.1 - The sprocket wheel and chain shown initially at...Ch. 15.1 - Prob. 15.19P Ch. 15.1 - The belt sander shown is initially at rest. 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The disk is released from rest and rolls down the...Ch. 15.3 - The pin at B is attached to member ABD and can...Ch. 15.3 - Two identical rods ABF and DBE are Connected by a...Ch. 15.3 - Ann ABD is connected by pins to a collar at B and...Ch. 15.3 - Two rods ABD and DE are Connected to three collars...Ch. 15.3 - Two 500-mm rods are pin-connected at D as shown....Ch. 15.3 - At the instant shown, the velocity of collar A is...Ch. 15.3 - Prob. 15.98P Ch. 15.3 - Describe the space centrode and the body centrode...Ch. 15.3 - Describe the space centrode and the body centrode...Ch. 15.3 - Using the method of Sec. 15.3, solve Prob. 15.60.Ch. 15.3 - Using the method of Sec. 15.3, solve Prob. 15.64.Ch. 15.3 - Using the method of Sec. 15.3, solve Prob. 15.65.Ch. 15.3 - Using the method of Sec. 15.3, solve Prob. 15.38.Ch. 15.4 - A rear-wheel-drive car starts from rest and...Ch. 15.4 - A 5-m steel beam is lowered by means of two cables...Ch. 15.4 - For a 5-m steel beam AE, the acceleration of point...Ch. 15.4 - 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In the positions shown, the thin rod moves at a...

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Angular acceleration of the plate

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