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Grade 11Mechanics

A cylinder having a mass of 1.92 kg rotates about its axis of symmetry. Forces are applied as shown in Fig. F1 = 5.88 N F2 = 4.13 N, and F3 = 2.12 N. Also, R1 = 4.93 cm and R2 = 11.8 cm. Find the magnitude and direction of the angular acceleration of the cylinder.
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

Profile image of Simran Bhatia
11 Years agoGrade 11
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Profile image of Aditi Chauhan
11 Years ago
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