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The magnitude of the applied force, F , in Figure above is 34 N. Given the infor

ID: 2041018 • Letter: T

Question

The magnitude of the applied force, F, in Figure above is 34 N.

Given the information above, answer parts a, b, c, and d below. Show all work and details. Give explanations for your answers. Make sure to use proper vector notation.

a) With Newton's second law of motion, set up the equations of motion for each block. m1 = 5 kg, m2 = 2 kg, and m3 = 10 kg.

b) From the equations from a) and Newton's third law of motion, calculate the acceleration of those blocks.

c) Find forces, F1?2 and F2?3.

d) What is the net force on the blocks 1, Fnet1, 2, Fnet2, and 3, Fnet3?

10 kg

Explanation / Answer

(a)

F - F2on1 = m1*a

F1on2 - F3on2 = m2*a

F2on3 = m3*a

b) F1on2 = F2on1


F2on3 = F3on2


F = ( m1 + m2+ m3)*a

acceleration a = 5.67 m/sec^2

c)

F1on2 = F2on1 = F - m1*a = 28.3 N

F2on3 = m3 a = 17.01N

d) Fnet1 = m1*a = 5* 5.67 = 28.35 N

Fnet2 = m2*a = 2* 5.67= 11.34 N


Fnet3 = m3*a = 10* 5.67 = 56.7 N