(a) Explanation Given information: The constant velocity ( v B ) of block B is 20 mm/s . At time ( t ) 0 sec the velocity ( v A ) 0 of A is − 30 mm/s . At time ( t ) 3 sec the block C moved distance ( x C ) is 57 mm . Calculation: Show the length and position of the cables as in Figure (1). Choose the coordinate downward positive and right side positive. Write the express for total lengths of cables. 3 y A + 4 y B + x C = constant Differentiate the above equation with respective to time ( t ). 3 d y A d t + 4 d y B d t + d x C d t = 0 Denotes d y A d t as v A , d x C d t as v C and d y B d t as v B . Since, rate of change of any coordinate with respect to time is equal to the velocity. 3 v A + 4 v B + v C = 0 (1) Differentiate the equation (2) with respective to time ( t ) (b) To determine The acceleration of block A ( a A ) and block C ( a C ) . (c) To determine The change in position ( y A − ( y A ) 0 ) of slider block A after 5 sec.

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ISBN: 9781260265453

Author: BEER

Publisher: MCG

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Chapter 11.2, Problem 11.58P

(a)

To determine

The velocity (vC)0 of slider block C at time (t) 0 sec.

(b)

To determine

The acceleration of block A (aA) and block C (aC).

(c)

To determine

The change in position (yA−(yA)0) of slider block A after 5 sec.

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Chapter 11.2, Problem 11.57P

Chapter 11.2, Problem 11.59P

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Block C starts from rest and moves downward with a constant acceleration. Knowing that after 10 s the velocity of block A is 465 mm/s, determine 1. The accelerations of A, B, and C 2. The velocity of block B after 8 s. D Select one A BA = 38 mm/s (downward): ag = 25.3 mm/s (upward): ac = 12.7 mm/s (downward); and Va = 202.7 mm/s (upward) B = 45.6 mm/s (downward); as = 304 mm/s (upward), ac = 15,2 mm/s (downward) and Vi = 1216 mm/s (upward) C B= 465 mm/s (downward): as = 31 mm/s (upward): ac = 15.5 mm/s (downward); and Va = 248 mm/s (upward) D 31 = 36 mm/s (downward); ag = 25,3 mm/s (upward) ac = 127 mm/s (downward); and Vg = 1013 mm/s (upward)

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The velocity ( v C ) 0 of slider block C at time ( t ) 0 sec.

Solution Summary: The author shows the length and position of the cables as in Figure (1).

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The velocity (vC)0 of slider block C at time (t) 0 sec.

The acceleration of block A (aA) and block C (aC).

The change in position (yA−(yA)0) of slider block A after 5 sec.

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Chapter 11 Solutions