1a. 1b. 1c. A uniform solid ball rolls smoothly along a floor, then up a ramp...

Question

Question

1a. A uniform solid ball rolls smoothly along a floor, then up a ramp inclined at 24.1. It momentarily stops when it has rolled 2

1b. A certain gyroscope consists of a uniform disk with a 33.0 cm radius mounted at the center of an axle that is 11.0 cm long an

1c. The figure shows a rigid structure consisting of a circular hoop of radius R and mass m, and a square made of four thin bars,

Answer 1

Answer #1

1)

Rotational energy, E = 0.5 Iw^2

E = 0.5 (2/5) mr^2 x (v/r)^2

E = (1/5) mv^2

Using law of conservation of energy,

0.5 mv^2 + (1/5) mv^2 = mgl sin(theta l

0.7 v^2 = gl sin(theta)

0.7 v^2 = 9.8 x 2.4 x sin(24.1)

Velocity, v = 3.7 m/s

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Answer 2

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