Please give me good solutions to problems 141 and 144. http://books.google.com/b

Question

Please give me good solutions to problems 141 and 144.

http://books.google.com/books?id=Lvr61msQz2oC&pg=RA2-PA381&lpg=RA2-PA381&dq=the+sliding+collar+moves+up+and+down+the+shaft,+causing+an+oscillation+of&source=bl&ots=9eZXkMRO0Y&sig=CMVrUQ4byKfd25wjMcB6lDRP0pc&hl=en&sa=X&ei=hW50Uo6eFdOE2gXj1YHQBQ&ved=0CEEQ6AEwBA#v=onepage&q=the%20sliding%20collar%20moves%20up%20and%20down%20the%20shaft%2C%20causing%20an%20oscillation%20of&f=false

The answers from the back of the book are:

#141     a_A=8.33i-10j; a_B=-13.89i+3.33j; a_P=-8.33i

#144     alpha_OB=((v_A)^2)/(rL)

Explanation / Answer

141) v0 = -2 j m/s, a0 = -5j m/s^2

Angular acceleration = 5/0.48 = 10.4166

Acceleration of A = -5j - 10.4166*0.48j + (2^2/0.48)(i) = 8.33i- 10j

last component is centripetal acc.

Acceleration of P = -5j + 10.4166*0.48j + (2^2/0.48)(-i) = -5j+5j-8.33i = -8.33i

Velocity of B = 2*0.8/0.48j = 3.33j m/s

Acceleration of B = -5j + 10.4166*0.8j + (3.33^2/0.8)(-i) = -13.89i + 3.33j

144)

In the current position angular acc of AB = Va^2/L^2, wrt Point A

Hence accelration of point B = Va^2/L

Angular acc of OB = Va^2/rL

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