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In each of the two free-body diagrams, the forces are acting on a 1.2 object. Pa

ID: 2090973 • Letter: I

Question

In each of the two free-body diagrams, the forces are acting on a 1.2 object.

Part A) Find the value of , the component of the acceleration in diagram (a).

Express your answer to two significant figures and include the appropriate units.

=


Part B) Find the value of , the component of the acceleration in diagram (a).

Express your answer to two significant figures and include the appropriate units.

= 0 m/s^2 Correct


Part C) Find the value of , the component of the acceleration in diagram (b).

Express your answer to two significant figures and include the appropriate units.

=


Part D) Find the value of , the component of the acceleration in diagram (b).

Express your answer to two significant figures and include the approriate units

= 0 m/s^2 Correct

Explanation / Answer

a) balancing forces along x

5-1-3sin20 = 2.97N

a_x = F_x/m = 2.97/1.2 = 2.47m/s^2

along y

2.82-3cos20 = 0.00092

a_y = 0.00092/1.2 = 0.000766m/s^2


c)

along x

2cos15 +2sin15-3=-0.55N

a_x = -0.55/1.2=-0.458m/s^2

along y

1.414+2sin15-2cos15 =-0.00021N

a_y = -0.00021/1.2 =0.00017m/s^2

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