Explanation Given: Mass of rod is 8 kg . Concept used: Draw the diagram for the acceleration of points on rod AB. Write the expression for acceleration of point B. a B = a A + a B / A Substitute a B i ^ for a B , − a A j ^ for a A and L α cos θ j ^ + L α sin θ i ^ for a B / A in above expression. a B i ^ = − a A j ^ + L α cos θ j ^ + L α sin θ i ^ ...... (1) Here, a B is the acceleration of point B, a A is the acceleration of point A, L is the length of rod AB, α is the angular acceleration of rod and θ is the orientation angle of rod with horizontal. Equate the coefficient of j ^ on both sides of equation (1). 0 = − a A + L cos α a A = L cos α Write the expression for acceleration at point G. a = a A + a G / A Substitute a x i ^ − a y j ^ for a , − L cos α j ^ for a A and L 2 cos α j ^ + L 2 sin θ i ^ in above expression. a x i ^ − a y j ^ = − L cos α j ^ + L 2 cos α j ^ + L 2 sin θ i ^ = L 2 α sin θ i ^ − L 2 α cos θ j ^ Here, a x is the horizontal component of acceleration at point G and a y is the vertical component of acceleration at point G. Equate i ^ components of both side of above expression. a x = L 2 α sin θ Equate j ^ components of both side of above expression. a y = L 2 α cos θ Draw the Free body diagram and the kinetic diagram of rod AB. Write the expression for moment about point E. ∑ M E = ∑ ( M E ) eff Substitute m g ( L 2 cos θ ) for ∑ M E and I α + m a x ( L 2 cos θ ) + m a y ( L 2 cos θ ) for ∑ ( M E ) eff in above expression To determine (b) The reaction at A.

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ISBN: 9781259977237

Author: BEER

Publisher: MCG

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Chapter 16.2, Problem 16.123P

To determine

(a)

The angular acceleration of rod.

To determine

(b)

The reaction at A.

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Chapter 16.2, Problem 16.122P

Chapter 16.2, Problem 16.124P

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(a) The angular acceleration of rod.

Solution Summary: The author explains the angular acceleration of rod.