Scenario Consider a cone made of a material for which friction may be neglected. The sides of the cone make an angle 0 with the horizontal plane. A small block is placed at point P. In Case 1, the block is released from rest and slides down the side of the cone toward the point at the bottom. In Case 2, the block is released with initial motion so that the block travels with constant speed along the dotted circular path.

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Chapter1: Units, Trigonometry. And Vectors
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**Case 1: Acceleration from Rest**

In Case 1, the block is released from rest. Is the block accelerating?
- Yes  □
- No  □

*Explain, and if yes, determine the direction of the acceleration.*

___

___

___

**Case 2: Constant Speed on Circular Path**

In Case 2, the block is released so that it travels with a constant speed along the dotted circular path. Is the block accelerating?
- Yes  □
- No  □

*Explain, and if yes, determine the direction of the acceleration.*

___

___

___
Transcribed Image Text:**Case 1: Acceleration from Rest** In Case 1, the block is released from rest. Is the block accelerating? - Yes □ - No □ *Explain, and if yes, determine the direction of the acceleration.* ___ ___ ___ **Case 2: Constant Speed on Circular Path** In Case 2, the block is released so that it travels with a constant speed along the dotted circular path. Is the block accelerating? - Yes □ - No □ *Explain, and if yes, determine the direction of the acceleration.* ___ ___ ___
**Scenario**

Consider a cone made of a material for which friction may be neglected. The sides of the cone make an angle θ with the horizontal plane. A small block is placed at point P. In Case 1, the block is released from rest and slides down the side of the cone toward the point at the bottom. In Case 2, the block is released with initial motion so that the block travels with constant speed along the dotted circular path.

**Diagram Explanation**

The diagram shows a cone with its vertex pointing downward. The side of the cone makes an angle θ with a horizontal plane. A small block is located at point P on the sloped side of the cone. A dotted line indicates a circular path around the cone, where the block could travel at a constant speed in Case 2.
Transcribed Image Text:**Scenario** Consider a cone made of a material for which friction may be neglected. The sides of the cone make an angle θ with the horizontal plane. A small block is placed at point P. In Case 1, the block is released from rest and slides down the side of the cone toward the point at the bottom. In Case 2, the block is released with initial motion so that the block travels with constant speed along the dotted circular path. **Diagram Explanation** The diagram shows a cone with its vertex pointing downward. The side of the cone makes an angle θ with a horizontal plane. A small block is located at point P on the sloped side of the cone. A dotted line indicates a circular path around the cone, where the block could travel at a constant speed in Case 2.
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