Suppose a crate of mass 3.6 kg is placed on the plank in the figure below at a d

Question

Suppose a crate of mass 3.6 kg is placed on the plank in the figure below at a distance x = 7.1 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.

3. 0/2 points Previous Answers GioCP2 8.P.027 My Notes Ask Your Teacher Suppose a crate of mass 3.6 kg is placed on the plank in the figure below at a distance x = 7.1 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 68.94 right support 98 3.0 m- 7.0 m 2.0 m. Need Help? Roak e her Need Help? Read ItTalk to a Tutor Submit Answer Save Progress Practice Another Version

Explanation / Answer

Here,

m = 3.6 Kg

M = 12 Kg

x = 7.1 m

let the left support force is Fl

right support force is Fr

balancing the moment of forces about left support

Fr * 7 - (7.1 - 3) * 3.6 * 9.8 - (12/2 - 3) * 12 * 9.8 = 0

solving for Fr

Fr = 71.1 N

the force exerted by the right support is 71.1 N

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Balancing the vertical forces

Fr + Fl = m* g + M * g

71.1 + Fl = 3.6 * 9.8 + 12 * 9.8

solving for Fl

Fl = 81.8 N

the force exerted by the left support is 81.8 N

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