Map apling Learning A horizontal circular platform rotates counterclockwise abou
ID: 779343 • Letter: M
Question
Map apling Learning A horizontal circular platform rotates counterclockwise about its axis at the rate of 0.981 rad/s. You, with a mass of 66.1 kg, walk clockwise around the platform along its edge at the speed of 1.01 m/s with respect to the platform·Your 205-kg poodle also walks clockwise-around the platform, but along a cide at half the tform's radius and at half your linear speed with respect to the platform. Your 17.5-kg mutt, on the other and, sits still on the platform at a position that is 3/4 of the platform's radius from the center. Model the platform as a uniform disk with mass 92.5 kg and radius 1.89 m. Calculate the total angular momentun of the systenm Number kg. m'/s 0 Previous Cive Up & View Solution Check Answer Next ExExplanation / Answer
here,
m1 = 66.1 kg
m2 = 20.5 kg
m3 = 17.5 kg
m4= 92.5 kg
the total angular momentum of the system , L = - m1 * 1.01 * 1.89 - m2 * (1.01/2) *(1.89/2) + I * w
L = - m1 * 1.01 * 1.89 - m2 * (1.01/2) *(1.89/2) + 0.5 * m4 * r^2 * w
L = - 66.1 * 1.01 * 1.89 - 20.5 * (1.01/2) *(1.89/2) + 0.5 * 92.5 * 1.89^2 * 0.981 kg.m^2 /s
L = 26.1 kg.m^2 /s counterclockwise