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Review Conceptual Example 2 as background for this problem. One kind of slingshot consists of a pocket that holds a pebble and is whirled

61 degrees

Physics 101 Mechanics

Chapter 5

Dynamics of Uniform Circular Motion

Newton's Laws of Motion

Applying Newton's Laws

Margaret U.

December 3, 2021

a swing ride

Rutgers, The State University of New Jersey

University of Washington

Hope College

McMaster University

Lectures

04:16

In mathematics, a proof is…

04:48

In mathematics, algebra is…

02:05

Consult Conceptual Example…

03:04

In preparation for this pr…

04:06

One type of slingshot can …

01:29

Consider the wrench in Exa…

01:37

Review Conceptual Example …

02:31

Review Example 3, which de…

03:08

Refer to Conceptual Exampl…

08:25

$. .$ REFERRING TO CONCEPT…

03:24

$\bullet$ REFERRING TO CON…

06:11

Before starting this probl…

04:59

(III) Revisit Conceptual E…

03:12

11:24

$\bullet$ $\bullet$ A slin…

05:28

Multiple-Concept Example 3…

05:34

A slingshot will shoot a 1…

01:22

05:17

04:05

A slingshot will shoot a $…

04:31

So this problem we're going to be solving for angles data at which a ball is released after being world around in a circle, and that ball is labeled with this little black dot here just reference. And the other piece of information that we're given apart from our angle fee, which is a level of 35 degrees and is the relationship between our distant state and artisans, are which is the equals 10 arm. And so there's an unlabeled angle between fee and data, which we have labeled Alfa. Um, in this problem, it's holding for Elsa is actually gonna be the key to getting our answered. So, Louise realized, is that we can actually connect the end point of orangey with another one, and then we get a right triangle. Um, and using this, we can then use the properties of trigonometry Thio, solve or answer. So when we look at her angle Alfa, we can say that the coastline of Alfa is equal to our over D or the adjacent side over the hypotheses. And now we can rewrite Alfa in terms of the angles that we do know. The important thing to realize here is that the total semicircle here must have a tool angle measure of 180 degrees because we know that a full circle has an angle measure of 360 degrees. So we can rewrite this as the co sign of 1 80 minus fee would have 35 degrees minus. Data is equal to our over D, and now we consoles for theta. So we cannot say rearranging a little bit. That data is equal to 1 80 minus 35 minus universe co sign with our over D. But since we know that D is equal to 10 are this is actually just the universe co sign of one of her 10 what we can put into our calculator and then we get a four point 26 Now all that's left to do is plug in when any one of 35 minus 84.26 and that is equal 2 60 0.74 which we can then round to 61 degrees. And that is a

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