The two blocks in the figure are connected by a massless rope that passes over a
ID: 1702423 • Letter: T
Question
The two blocks in the figure are connected by a massless rope that passes over a pulley. The pulley is 11 { m cm} in diameter and has a mass of 1.5 { m kg}. As the pulley turns, friction at the axle exerts a torque of magnitude 0.70 { m N cdot m}.
If the blocks are released from rest, how long does it take the 4.0 kg block to reach the floor
the distance of m2 (4.0 kg)= 1.0 m; m1=2.0
The two blocks in the figure are connected by a massless rope that passes over a pulley. The pulley is 11 {rm cm} in diameter and has a mass of 1.5 {rm kg}. As the pulley turns, friction at the axle exerts a torque of magnitude 0.70 {rm N cdot m}. If the blocks are released from rest, how long does it take the 4.0 kg block to reach the floor the distance of m2 (4.0 kg)= 1.0 m; m1=2.0Explanation / Answer
assume that the two blocks 's mass are m1 and m2. tension of string is T1 and T2. m1g-T1=m1*a. (T1-T2)r=Mr^2a/2r T2-m2g=m2a. plug (1) and (3) we have. (m1-m2)g-(T1-T2)=(m1+m2)a (T1-T2)=M*a/2. so (m1-m2)g=(m1+m2+M/2)a so a=(m1-m2)g/(m1+m2+M/2). ------- from this use t=sqrt(2h/a) to calculate the time needed.
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