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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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.
Transcribed Image Text: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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