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Pulley B is being driven by the motorized pulley A that is rotating at ωA =20 rad/s. At time t = 0, the current in the motor is cut off, and friction in the bearings causes the pulleys to coast to a stop. The angular acceleration of A during the deceleration is αA = −2.5t rad/s2, where t is in seconds. Assuming that the drive belt does not slip on the pulleys, determine (1) the angular velocity of B as a function of time; (2) the angular displacement of B during the period of coasting; and (3) the acceleration of point C on the straight portion of the belt as a function of time. Note: R1 as your last three numbers of your university ID, and R2 is half of that. Units in mm

Pulley B is being driven by the motorized pulley A that is rotating at ωA =20 rad/s. At time t = 0, the current in the motor is cut off, and friction in the bearings causes the pulleys to coast to a stop. The angular acceleration of A during the deceleration is αA = −2.5t rad/s2, where t is in seconds. Assuming that the drive belt does not slip on the pulleys, determine (1) the angular velocity of B as a function of time; (2) the angular displacement of B during the period of coasting; and (3) the acceleration of point C on the straight portion of the belt as a function of time. Note: R1 as your last three numbers of your university ID, and R2 is half of that. Units in mm

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Pulley B is being driven by the motorized pulley A that is rotating at ωA =20 rad/s. At time t = 0, the current in the
motor is cut off, and friction in the bearings causes the pulleys to coast to a stop. The angular acceleration of A
during the deceleration is αA = −2.5t rad/s2, where t is in seconds. Assuming that the drive belt does not slip on the
pulleys, determine (1) the angular velocity of B as a function of time; (2) the angular displacement of B during the
period of coasting; and (3) the acceleration of point C on the straight portion of the belt as a function of time.
Note: R1 as your last three numbers of your university ID, and R2 is half of that. Units in mm

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