A block of mass m 1 is attached to a block of mass m 2 by a massless rope (see d

Question

A block of mass m1 is attached to a block of mass m2 by a massless rope (see diagram); the pulleys and surfaces are frictionless. When the blocks are let go, they move. Answer the following three questions using the choices given below. E.g., if the answer to the first question is A, to the second, C, and to the third, D, enter ACD.

Note that in these expressions, g is the magnitude of the acceleration due to gravity.

A) a1y = 2a2x B) a1 = 2T/m1−g
C) a2 = T/m2+gm1/(2m2) D) a1x = −1/2 a2y
E) a1 = 2T/m1+gm2/m1 F) a1 = T/m1+gm2/m1
G) a1 = 2T/m1 H) a2 = 2T/m2
I) a1y = 1/2 a2x J) a2 = g−T/m2
K) a1y = −1/2 a2x L) a1 = g−2T/m1
M) a1x = −2a2y N) a2 = g−2T/m2
O) a1 = T/m1 P) a2 = T/m2−g
Q) a1x = 1/2 a2y R) a2 = T/m2
S) a2 = 2T/m2−g T) a1 = T/m1−g
U) a1x = 2a2y V) a1y = −2a2x
W) a2 = 2T/m2+gm1/m2 X) a1 = g−T/m1

Explanation / Answer

Acceleration of blcok 1, a1 = 2*m2g/(4*m1 + m2) = 3.92 m/s^2

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