Question

Figure P6.57 shows a photo of a swing ride at an amusement park. The structure consists of a horizontal, rotating, circular platform of diameter D from which seats of mass $m$ are sus- pended at the end of massless chains of length d. When the system rotates at constant speed, the chains swing outward and make an angle $\theta$ with the vertical. Consider such a ride with the following parameters: $D=$ $8.00 \mathrm{m}, d=2.50 \mathrm{m}, m=$$10.0 \mathrm{kg},$ and $\theta=28.0^{\circ} .$ (a) What is the speed of each seat? (b) Draw a diagram of forces acting on a $40.0-\mathrm{kg}$ child riding in a seat and $(\mathrm{c})$ find the tension in the chain.

          Figure P6.57 shows a photo of a swing ride at an amusement park. The structure consists of a horizontal, rotating, circular platform of diameter D from which seats of mass $m$ are sus-
pended at the end of massless chains of length d. When the system rotates at constant speed, the chains swing outward and make an angle $\theta$ with the vertical. Consider such a ride with the following parameters: $D=$ $8.00 \mathrm{m}, d=2.50 \mathrm{m}, m=$$10.0 \mathrm{kg},$ and $\theta=28.0^{\circ} .$ (a) What is the speed of each seat? (b) Draw a diagram of forces acting on a $40.0-\mathrm{kg}$ child riding in a seat and $(\mathrm{c})$ find the tension in the chain.

Added by Richard B.

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