A rod is bent into an L shape and attached at one point to a pivot. The rod sits
ID: 1696478 • Letter: A
Question
A rod is bent into an L shape and attached at one point to a pivot. The rod sits on a frictionless table and the diagram is a view from above. This means that gravity can be ignored for this problem. There are three forces that are applied to the rod at different points and angles: F1, F2, F3 and . Note that the dimensions of the bent rod are in centimeters in the figure, although the answers are requested in SI units (kilograms, meters, seconds).
This is the Diagram:
Questions:
________N
2.
Assume that as the object starts to move, each force moves with the object so as to retain its initial angle relative to the object.
t= _________ s
Thank you
Explanation / Answer
(a)Rotational torque exerted by F1 is
1 = 12 x0.03 = 0.36 N.m Rotational torque exerted by F2 is
2 = F2 x0.08= 0.08F2 Equating, F2 = 0.36/0.08 = 4.5 N (b) Nettorque, = 27x0.08 - 12x0.03 = 2.16 - 0.36 = 1.8 N.m Angularacceleration, = /I = 1.8/9 = 0.2 rad/s2 Since, = 1.t + 0.5t2 ;1 = 0 = 0.5t2 t2 = 2/ = 2./4/0.2 = 7.854 t = 7.854 = 2.8s (c)1 = F1.d = 12x0.03 = 0.36N.m 2 = F3. sin xd =F3.x 0.5 x0.08 = 0.04F3 Equating, F3 = 0.36/0.04 = 9.0 N (a)Rotational torque exerted by F1 is
1 = 12 x0.03 = 0.36 N.m Rotational torque exerted by F2 is
2 = F2 x0.08= 0.08F2 Equating, F2 = 0.36/0.08 = 4.5 N (b) Nettorque, = 27x0.08 - 12x0.03 = 2.16 - 0.36 = 1.8 N.m Angularacceleration, = /I = 1.8/9 = 0.2 rad/s2 Since, = 1.t + 0.5t2 ;1 = 0 = 0.5t2 t2 = 2/ = 2./4/0.2 = 7.854 t = 7.854 = 2.8s (c)1 = F1.d = 12x0.03 = 0.36N.m 2 = F3. sin xd =F3.x 0.5 x0.08 = 0.04F3 Equating, F3 = 0.36/0.04 = 9.0 N
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