Homework Help is Here – Start Your Trial Now!
Science
Advanced Physics
In the figure, a small 0.186 kg block slides down a frictionless surface through height h = 0.777 m and then sticks to a uniform vertical rod of mass M = 0.372 kg and length d= 2.31 m. The rod pivots about point O through angle before momentarily stopping. Find 0. A

In the figure, a small 0.186 kg block slides down a frictionless surface through height h = 0.777 m and then sticks to a uniform vertical rod of mass M = 0.372 kg and length d= 2.31 m. The rod pivots about point O through angle before momentarily stopping. Find 0. A

icon
Related questions
Question

Needs Complete typed solution with 100 % accuracy.             

### Physics Problem: Block and Rod Dynamics **Problem Statement:** In the figure, a small 0.186 kg block slides down a frictionless surface through height \( h = 0.777 \, \text{m} \) and then sticks to a uniform vertical rod of mass \( M = 0.372 \, \text{kg} \) and length \( d = 2.31 \, \text{m} \). The rod pivots about point \( O \) through angle \( \theta \) before momentarily stopping. Find \( \theta \). **Diagram Explanation:** 1. **Block on the Ramp:** - The diagram shows a block situated at the top of a curved, frictionless ramp with height \( h \). - The block is set to slide down the ramp due to gravity. 2. **Rod and Pivot:** - The rod is depicted vertically with a pivot point labeled \( O \) at the top. - The angle \( \theta \) is marked where the rod rotates about point \( O \) when impacted by the block. - The block, after sliding down, sticks to the rod, causing it to pivot. 3. **Mathematical Representation:** - The relationships involving mass, height, gravitational acceleration, and rotational motion are implied. - Calculating \( \theta \) may involve principles of energy conservation and rotational dynamics. This problem is typically analyzed in physics to understand the principles of rotational motion and energy conservation in a mechanical system.
Transcribed Image Text:### Physics Problem: Block and Rod Dynamics **Problem Statement:** In the figure, a small 0.186 kg block slides down a frictionless surface through height \( h = 0.777 \, \text{m} \) and then sticks to a uniform vertical rod of mass \( M = 0.372 \, \text{kg} \) and length \( d = 2.31 \, \text{m} \). The rod pivots about point \( O \) through angle \( \theta \) before momentarily stopping. Find \( \theta \). **Diagram Explanation:** 1. **Block on the Ramp:** - The diagram shows a block situated at the top of a curved, frictionless ramp with height \( h \). - The block is set to slide down the ramp due to gravity. 2. **Rod and Pivot:** - The rod is depicted vertically with a pivot point labeled \( O \) at the top. - The angle \( \theta \) is marked where the rod rotates about point \( O \) when impacted by the block. - The block, after sliding down, sticks to the rod, causing it to pivot. 3. **Mathematical Representation:** - The relationships involving mass, height, gravitational acceleration, and rotational motion are implied. - Calculating \( \theta \) may involve principles of energy conservation and rotational dynamics. This problem is typically analyzed in physics to understand the principles of rotational motion and energy conservation in a mechanical system.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer