Apotter's wheel, with rotational inertia 49 kg·m2, is spinning freely at 40 rpm. the potter drops a lump of clay onto the wheel, where it sticks a distance 1.2 m from the rotational axis. if the subsequent angular speed of the wheel and clay is 32 rpm what is the mass of the clay?

8.5 kg

Explanation:

Angular momentum is conserved.

I₁ ω₁ = I₂ ω₂

I ω₀ = (I + mr²) ω

(49 kg m²) (40 rpm) = (49 kg m² + m (1.2 m)²) (32 rpm)

61.25 kg m² = 49 kg m² + (1.44 m²) m

m = 8.5 kg

The mass of the clay is 8.5 kg.

4

explanation:

4

the small 0.38-kg slider is known to move from position a to position b along the vertical-plane slot. determine (a) the work done on the body by its weight and (b) the work done on the body by the spring. the distance r = 0.70 m, the spring modulus k = 154 n/m, and the unstretched length of the spring is 0.53 m

explanation:

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