In this problem, a small block with a mass of 0.425 kg slides down a frictionless surface from a height of \( h = 0.678 \, \text{m} \). After descending, it collides with and adheres to a uniform vertical rod. The rod has a mass of 0.850 kg and a length of \( d = 2.73 \, \text{m} \). The system causes the rod to pivot around point \( O \) through an angle \( \theta \) and momentarily come to a stop. The task is to calculate the angle \( \theta \).The accompanying diagram illustrates a vertical rod pivoting at its base point \( O \). The rod pivots to the right, indicating the direction the block and rod system moves after the block impacts the rod. The height \( h \) from which the block slides is annotated on the drawing.There is a field for entering the calculated number for \( \theta \), with the dropdown box indicating that the units are in degrees.

Apply the energy conservation equation between the top and the bottom of the curved surface to…

In the figure, a small 0.425 kg block slides down a frictionless surface through height h = 0.678 m and then sticks to a uniform vertical rod of mass M = 0.850 kg and length d = 2.73 m. The rod pivots about point O through angle before momentarily stopping. Find 0. A Number i| ! Units ° (degrees)

In the figure, a small 0.425 kg block slides down a frictionless surface through height h = 0.678 m and then sticks to a uniform vertical rod of mass M = 0.850 kg and length d = 2.73 m. The rod pivots about point O through angle before momentarily stopping. Find 0. A Number i| ! Units ° (degrees)

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

In this problem, a small block with a mass of 0.425 kg slides down a frictionless surface from a height of \( h = 0.678 \, \text{m} \). After descending, it collides with and adheres to a uniform vertical rod. The rod has a mass of 0.850 kg and a length of \( d = 2.73 \, \text{m} \). The system causes the rod to pivot around point \( O \) through an angle \( \theta \) and momentarily come to a stop. The task is to calculate the angle \( \theta \).

The accompanying diagram illustrates a vertical rod pivoting at its base point \( O \). The rod pivots to the right, indicating the direction the block and rod system moves after the block impacts the rod. The height \( h \) from which the block slides is annotated on the drawing.

There is a field for entering the calculated number for \( \theta \), with the dropdown box indicating that the units are in degrees.

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Step 1: Calculate the velocity of block at the bottom:

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Step 2: Calculate the angular velocity after collision

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Step 3: Calculate theta

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