explain Rigld rods of negligible mass lying along the y axis conmect theee parti

Question

explain

Rigld rods of negligible mass lying along the y axis conmect theee partioles. The system ratatees about the x axis mth an angular speed of 1.80 rads. 400-00 m 2.00 kg,--2.00 tn 3.00kg--4.00m 3.00 kg .,--4.00m (a) Find the moment af Inertia about the x axs (b) Find the total rtatiral kinetic nergy dealuated from (e) Find the tangential speed of each partides 4.00 kg particle 2.00 kg particle 3.00 kg particle 's d) Find the total sinetic enaray evsloatnd frem X e) Compare the answers for kinetic enargy in parts (b) and ld

Explanation / Answer

a) I = 4kg * (3m)² + 2kg * (2m)² + 3kg * (4m)² = 92 kg·m²

b) Ek = ½ * 92kg·m² * (1.80rad/s)² = 149.04 J

c) v = r. From top down:
v = 1.80rad/s * 3m = 5.4 m/s
v = 1.80rad/s * 2m = 3.6 m/s
v = 1.80rad/s * 4m = 7.2 m/s

d) Ek = ½(4kg * (5.4m/s)² + 2kg * (3.6m/s)² + 3kg * (7.2m/s)²) = 149.04 J

e) same

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