iPad 2:21 PM ivc.blackboard.com PROBLEM 3: Three blocks, connected together by m
ID: 1330199 • Letter: I
Question
iPad 2:21 PM ivc.blackboard.com PROBLEM 3: Three blocks, connected together by mass-less strings as shown in the picture below, are being pulled along by a horizontal force of magnitude F. Between blocks B and C the tension magnitude is T. The tension magnitude in the string between blocks A and B is unknown. Let each block have the following mass: mA for block A, m for block B, and mc for block C. The coefficient of kinetic friction for each block is Ignore air resistance. 4 of 7 (a) Determine is the magnitude of the acceleration of block B. (b) Using your answer from part (a) determine the magnitude of the tension in the string between blocks A and B.Explanation / Answer
a) Using Fnet= Ma on block (A +B) system,
T - uk(mA + mB)g = (mA +mB)a
a = (T / (mA +mB)) - uk*g
a = ( 3.5 / (0.205 + 0.415)) - 0.17x9.81 = 3.98 m/s^2
b) Using Fnet = ma on block A .
T' - uk*mA*g = mA*a
T' - 0.17 x 0.205 x 9.81 = 0.205 x 3.98
T' = 1.16 N
C) On block C ,
F - T = mC*a
F - 3.5 = 0.552*3.98
F = 5.70 N
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