In each of the two free-body diagrams, the forces are acting on a 4.0 Kg object.

Question

In each of the two free-body diagrams, the forces are acting on a 4.0 Kg object.

a) For diagram (a), find the value of ax, the x-component of the acceleration.

b) For diagram (a), find the value of ay, the y-component of the acceleration.

c) For diagram (b), find the value of ax, the x-component of the acceleration.

d) For diagram (b), find the value of ay, the y-component of the acceleration.

In each of the two free-body diagrams, the forces are acting on a 4.0 Kg object. For diagram (a), find the value of ax, the x-component of the acceleration. For diagram (a), find the value of ay, the y-component of the acceleration. For diagram (b), find the value of ax, the x-component of the acceleration. For diagram (b), find the value of ay, the y-component of the acceleration.

Explanation / Answer

for diagram a

a)mass m=4kg

net force along x axis Fx=5cos37-2 =1.993

from newtons second law Fx=max

ax= 1.993/4 =0.498 m/s^2

b)

net force along y axis Fy = 5sin37+2-5 =0

ay =0

diagram B

c)

net force along x axis Fx=5sin37+3-2 =4

m*ax =4

ax =4/4 = 1 m/s^2

d)

net force along y axis Fy =4-5cos37 = 0

so ay =0

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