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The figure shows two identical blocks tied together with a string which passes over a pulley at the crest of the inclined planes, one of which makes an angle q1 = 29° to the horizontal, the other makes the complementary angle q2 = 61°.
a) If there is no friction anywhere, with what acceleration do the blocks move?

a = m/s2
b) If each block has a mass m = 0.7 kg, what is the tension in the string while they are both moving?

T = N
c) Now suppose the coefficient of sliding friction between the blocks and planes is µ = 0.03. With what acceleration do the blocks move in this case?

af = m/s2

2007-10-27 16:04:37 · 1 answers · asked by Anonymous in Science & Mathematics Physics

1 answers

Consider FBDs of each block taking positive as the motion of the mass on q2

m*g*sin(61)-T=m*a
T-m*g*sin(29)=m*a

They have the same a

m*g*sin(61)-m*a=m*a+m*g*sin(29)
a=g*(sin(61)-sin(29))/2

b)
m*g*(sin(61)+sin(29))/2=0

j

2007-10-29 09:16:50 · answer #1 · answered by odu83 7 · 0 0

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