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1. A uniform meter stick with a mass of 290g is supported horizontally by two ve

ID: 1302260 • Letter: 1

Question

1. A uniform meter stick with a mass of 290g is supported horizontally by two vertical strings, one at the 0-cm mark and the other at the 90-cmmark(Figure 1) .

Part A

What is the tension in the string at 0 cm?

Express your answer using two significant figures.

Part B

What is the tension in the string at 90 cm?

Express your answer using two significant figures.

2. A person exerts a force of 68N on the end of a door 81cm wide.

Part A

What is the magnitude of the torque if the force is exerted perpendicular to the door?

Part B

What is the magnitude of the torque if the force is exerted at a 45? angle to the face of the door?

F0cm = ?    N  

Explanation / Answer

1)

Equating torque about point at 90cm

F0cm* 0.9 = 0.29*9.8*0.4

F0cm= 1.263 N

Equating torque about point at 0cm

F90cm*0.9= 0.29*9.8*0.5

F90cm = 1.579N

2)

T = F * r = 68 * 0.81 = 55.08 Nm

part B

T = F* r * sin x = 68 * 0.81 * sin 45 = 38.95 Nm