Consider the crates in the figure below where m 1 = 40 kg and m 2 = 13 kg. Assum

Question

Consider the crates in the figure below where m1 = 40 kg and m2 = 13 kg. Assume that there is no friction between m1 and the table.

Consider the crates in the figure below where m1 = 40 kg and m2 = 13 kg. Assume that there is no friction between m1 and the table. Make a sketch showing all the forces on the crates. Include a coordinate system. (Take up to be the positive y direction, and to the right to be the positive x direction. Do this on paper. Your instructor may ask you to turn in this work.) Determine the components of the forces along the coordinate axes. Write Newton's second law for motion along both coordinate directions. (Use the following as necessary: T for the magnitude of the tension, m1, m2, g, and N for the magnitude of the normal force.) Solve the equations from part (c) to find the acceleration of the crates and the tension in the string.

Explanation / Answer

b)positive x

negative y

positive y

positive x

positive y

negative y

negative y

c)sigma F1x=T=m1a,

sigma F1y= N-m1g=0,

sigma F2x=0,

sigma F2y= T-m2g = -m2a.

d) Adding equation (1) & (2)

m2g=(m1+m2)a

a=m2g/(m1+m2)

T=m1a

=m1m2g/(m1+m2).

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