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A force of P = 20 N is applied to the cable, which causes the 175-kg reel to turn without slipping onto the two
A force of P = 20 N is applied to the cable, which causes the 175-kg reel to turn without slipping onto the two rollers A and B of the dispenser. Neglect the mass of the cable. Each roller can be considered as an 18-kg cylinder, having a radius of 0.1 m. The radius of gyration of the reel about its center axis is kg = 0.42 m. (Figure 1) 30% 250 mm 500 mm AO OB 400 mm Part A.) Determine the angular velocity of the reel, measured counterclockwise, after it has made two revolutions starting from rest. (Note: answer in radians per second. Positive value if the angular velocity is counterclockwise and negative value if the angular velocity is clockwise.) w????rad/s ?? rad/s ANSWER 1: w= 1.78 rad/s It appears you have calculated the moment of inertia of a roller as if it were a disk. Note that in the problem statement it is proposed to consider each roller as a cylinder. ANSWER 2: w = 1.99 rad/s It seems you have assumed that the reel and the rollers rotate at the same angular velocity. Note that since the reel turns without slipping on the two rollers, only the velocities of the points of the two bodies at their contact are the same. This fact can be used to establish a relation between the angular velocities of the reel and the rollers. ANSWER 3: w= 2.02 rad/s It seems you have assumed that the reel and the rollers rotate at the same angular velocity. Note that since the reel turns without slipping on the two rollers, only the velocities of the points of the two bodies at their contact are the same. This fact can be used to establish a relation between the angular velocities of the reel and the rollers.
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