Question

A spool rests on a horizontal, frictionless surface and you are looking at it from the top view (appears as a circle). In the following questions, the spool is pulled by tension forces that are applied at various locations, directions, and radii. To solve each problem, draw the spool as a circle on a piece of paper and then draw the given tension vectors. REMEMBER that tN; direction UPWARD points to the TOP of ten page and DOWNWARD points to the BOTTOM of the page. The resulting TORQUE will be either OUT OF the page:CCW ration, POSITIVE torque) or INTO the page (CW motion, NEGATIVE torque). A rope of tension IT appl.es a force at radius 3R on the spot It located at 3 o'clock and points upward What is the resulting torque in terms of RT? Remember to check whether ten torque is positive (results in CCW motion) or negative (results in CW motion). A rope of tension 4T applies a force at radius 3R on the spool. It is located at 3 o'clock and points downward What is the resulting torque in terms of RT7 Rope #1 of tension 3T applies a force at radius 4R on the spool. It Is located at 9 o'clock and points upward. Rope #2 of tension 4T applies a force at radius 4R on the spool It is located at 6 o'clock and points right What is the resulting torque due to both ropes In terms of RT?

Answer 1

a) A rope of tension 1T applies a force at radius 3R on the spool. It is located at 3 o'clock and points upward
What is the resulting torque in terms of RT?

ANS: -3 RT

b) A rope of tension 4T applies a force at radius 3R on the spool. It is located at 3 o'clock and points downward.
What is the resulting torque in terms of RT?

ANS: 3 RT

c) -4RT + 4RT = 0