Mass and Angular Acceleration
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b) A uniform solid cylinder (m=0.690 kg, of small radius) is at the top of a similar ramp, which has friction. The cylinder starts from rest and rolls down the ramp without sliding and goes around the loop. Find the velocity of the cylinder at the top of the loop.
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Problem 3
A beam is supported only at one point, called the pivot point, as shown in the diagram. A block with mass m1 sits at the left end of the beam, a distance L1 from the pivot point. A block with mass m2 sits at the right end of the beam, a distance L2 from the pivot point. L2 > L1. Calculate all torques about the pivot point, remembering that positive is anticlockwise. Select Yes, No, Less than, Equal to, or Cannot tell.
If m1 * L2 = m2 * L1, is there a negative torque? Given particular values of L1, L2, and m1, is it always possible to choose m2 such that the masses have no angular acceleration? For m1 = m2, does the angular acceleration depend only on L1 / L2 ? (If it depends on the actual values of L1 and L2, put 'no'.) If m1 = m2, will the masses have an angular acceleration?
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If L1 = 0.490 m, L2 = 1.18m, m1 = 4.10 kg, and m2 = 3.40 kg, what is the angular acceleration of the beam?
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Problem 4
A 1.42 kg particle moves in the xy plane with a velocity of v = (4.26i  3.43j) m/s. Determine the particle's angular momentum when its position vector is r = (1.49i + 2.36j) m. Enter the kcomponent of the angular momentum with correct units.
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