A student of mass 33.5 kg wants to measure the mass of a playground merry-go-rou

Question

A student of mass 33.5 kg wants to measure the mass of a playground merry-go-round, which consists of a solid metal disk of radius R = 1.50 m that is mounted in a horizontal position on a low-friction axle. She tries an experiment: She runs with speed v = 6.81 m/s toward the outer rim of the merry-go-round and jumps on to the outer rim, as shown in the figure. The merry-go-round is initially at rest before the student jumps on and rotates at 1.30 rad/s immediately after she jumps on. You may assume that the student

Explanation / Answer

m*v*R = I*w

33.5*6.81*1.5 = 0.5*M*1.5^2*1.3

M = 233.985 kg = 234 kg

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.