Suppose a crate of mass 8.0 kg is placed on the plank in the figure below at a d

Question

Suppose a crate of mass 8.0 kg is placed on the plank in the figure below at a distance x = 6.9 m from the left end. If the plank has a mass of 12 kg, find the forces exerted by the two supports on the plank. (Indicate the direction with the sign of your answer.)

Suppose a crate of mass 8.0 kg is placed on the plank in the figure below at a distance x = 6.9 m from the left end. If the plank has a mass of 12 kg, find the forces exerted by the two supports on the plank. (Indicate the direction with the sign of your answer.) left support right support 3.0 m 7.0 m -2.0 m

Explanation / Answer

Here ,

let the force on the left support is Fl

the force on the right support is Fr

balancing the moment of forces about right support

Fl * 7 - 8 * g * (10 - 6.9) - 12 *(6 -2) * 9.8 = 0

Fl * 7 - 8 * 9.8* (10 - 6.9) - 12 *(6 -2) * 9.8 = 0

sovling for Fl

FL = 101.92 N

the force on the left support is 101.92 N

Now ,

balancing the vertical forces

101.92 + Fr = 8 * 9.8 + 12 * 9.8

Fr = 94.1 N

the force on the right support is 94.1 N

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