Recall Toque is defined as: ?? =r? ×F? ??=r?×F? And the magnitude of Torque can
ID: 2034957 • Letter: R
Question
Recall Toque is defined as: ?? =r? ×F? ??=r?×F?
And the magnitude of Torque can be calculated from: |?? |=|r? ||F? |sin?|??|=|r?||F?|sin?
In the questions below, assume all torques are calculated about the CENTER OF THE BEAM (marked with a red dot).
Given a beam with mass M and length L = 2.9 m attached to a ceiling by two vertical wires (with tension FT1 and FT2) attached to the ends of the beam. A mass m is attached to the beam a distance d = 1.2 m from the right edge of the beam by massless wire (with tension FT3). The beam makes angles with the wires shown where ?1 = 139° and ?2 = 41°.
a)
When calculating the torque due to FT1 on the beam (about the center of the beam) |?? |=|r? ||F? |sin?|??|=|r?||F?|sin?, |r? ||r?| is:
|r? |=|r?|= 1.2 m
|r? |=|r?|= 0.25 m
|r? |=|r?|= 1.7 m
|r? |=|r?|= 2.9 m
|r? |=|r?|= 1.45 m
b)
When calculating the magnitude of the torque due to FT1 on the beam (about the center of the beam) using|?? |=|r? ||F? |sin?|??|=|r?||F?|sin? the angle ?? is:
90°
131°
139°
180°
c)
The direction of the torque due to FT1 on the beam (about the center of the beam) is:
into the page (clockwise)
out of the page (counter clockwise)
zero
d)
When calculating the torque due to FT3 on the beam (about the center of the beam) |?? |=|r? ||F? |sin?|??|=|r?||F?|sin?, |r? ||r?| is:
|r? |=|r?|= 1.2 m
|r? |=|r?|= 0.25 m
|r? |=|r?|= 1.7 m
|r? |=|r?|= 2.9 m
|r? |=|r?|= 1.45 m
e)
When calculating the magnitude of the torque due to FT3 on the beam (about the center of the beam) using|?? |=|r? ||F? |sin?|??|=|r?||F?|sin? the angle ?? is:
90°
131°
139°
180°
f)
The direction of the torque due to FT3 on the beam (about the center of the beam) is
into the page (clockwise)
out of the page (counter clockwise)
zero
T1 T2 2 T3Explanation / Answer
a)1.45m
b)1390
c)into the page(clockwise)
d)0.25m
e)1390
f)into the page (clockwise)
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