A horizontal, 8.0 m plank weighs 140 N. It rests on two supports that are placed

Question

A horizontal, 8.0 m plank weighs 140 N. It rests on two supports that are placed 1.0 m from each end as shown in the figure. How close to one end can an 720 N person stand without causing the plank to tip?

Question options:

0.85 m

0.58 m

0.42 m

0.26 m

e. 0.15 m

The drawing shows the top view of a door that is 1.68 m wide. Two forces are applied to the door as indicated. What is the magnitude of the net torque on the door with respect to the hinge?

Question options:

4.1 N m

8.2 N m

12 N m

17 N m

25 N m

A)

0.85 m

B)

0.58 m

C)

0.42 m

D)

0.26 m

e. 0.15 m

The drawing shows the top view of a door that is 1.68 m wide. Two forces are applied to the door as indicated. What is the magnitude of the net torque on the door with respect to the hinge?

Question options:

A)

4.1 N m

B)

8.2 N m

C)

12 N m

D)

17 N m

E)

25 N m

A horizontal, 8.0 m plank weighs 140 N. It rests on two supports that are placed 1.0 m from each end as shown in the figure. How close to one end can an 720 N person stand without causing the plank to tip? Question options:

Explanation / Answer

a)

B is the answer

Net torque=0

Tplank-Tman=0

140*(8-2/2)-720*r=0

r=0.58 m

b)

B is the answer

T1=F1*d1*Sin(55) =0.84*12*sin55=8.26 N

T2=-F2*d2*Sin(180-55) =-12*1.68*sin(125)=-16.51 N

Net Torque

T=8.26-16.51=8.2 N

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