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Indiana University, Purdue University Indianapolis - PHYS 152Physics 15200- HW17

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lai (yl8859) – HW17 – Ross – (15200) 1 This print-out should have 10 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 ... (part 1 of 3) 10.0 points A force F~ = Fx ˆi + Fy ˆj + Fz kˆ acts on a particle located at X~ = (x, y, z). Given Fx = 61.9 N, Fy = 37 N, Fz = 82.4 N, x = 7.69 m, y = −1.37 m and z = 6.98 m, calculate the three components of the torque vector ~τ = τx ˆi + τy ˆj + τz k . ˆ First, calculate the τx component. Answer in units of N m. 002 (part 2 of 3) 10.0 points Second, calculate the τy component. Answer in units of N m. 003 (part 3 of 3) 10.0 points Finally, calculate the τz component. Answer in units of N m. 004 (part 1 of 3) 10.0 points A uniform solid sphere I = 2 5 m r2 of mass 1.8 kg and radius r = 0.445 m, is placed on the inside surface of a hemispherical bowl of radius R = 2.34 m. The sphere is released from rest at an angle θ = 42.6 ◦ from the vertical and rolls without slipping (see the figure). θ R r The acceleration of gravity is 9.8 m/s2 . How much potential energy has the sphere lost when it reaches the bottom of the bowl? Answer in units of J. 005 (part 2 of 3) 10.0 points What is the translational velocity of the sphere when it reaches the bottom of the [Show More]

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