12.4 A 8 050-N shark is supported by a rope attached to a 3.10-m rod that can pivot at the base.20.0°60.0⁰(a) Calculate the tension in the cable between the rod and the wall, assuming the cable is holding thesystem in the position shown in the figure.(b) Find the horizontal force exerted on the base of the rod.(c) Find the vertical force exerted on the base of the rod. Ignore the weight of the rod. (a) From the diagram, the angle T makes with the rod is given by0 = 60° +20.0° = 80and the perpendicular component of TisT sin 80Summing torques around the base of the rod, and applying Newton's second law in the horizontal and verticaldirections, Σ T = 0, and we have- (³ 3.1m)(sin 80° = 0,which givesT =80504.08709211284=(b) From ΣΕx 0, we have FHX=8050N) cos(60sin(80.0⁰)x 10³ N.os(20. .0°) == T cos 20.0°✓Ncos 60= 0, soO+3.1mFH = T cos(20.0⁰) = = 4.087Your response is within 10% of the correct value. This may be due to roundoff error, or you could have amistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimizeroundoff error. × 10³ N.

Answered: Image /qna-images/answer/7f925b6a-9bfc-447f-8bb9-9b6ac7a726e4.jpg

(a) Calculate the tension in the cable between the rod and the wall, assuming the cable is holding the system in the position shown in the figure. (b) Find the horizontal force exerted on the base of the rod. (c) Find the vertical force exerted on the base of the rod. Ignore the weight of the rod.

(a) Calculate the tension in the cable between the rod and the wall, assuming the cable is holding the system in the position shown in the figure. (b) Find the horizontal force exerted on the base of the rod. (c) Find the vertical force exerted on the base of the rod. Ignore the weight of the rod.

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

12.4

A 8 050-N shark is supported by a rope attached to a 3.10-m rod that can pivot at the base.
20.0°
60.0⁰
(a) Calculate the tension in the cable between the rod and the wall, assuming the cable is holding the
system in the position shown in the figure.
(b) Find the horizontal force exerted on the base of the rod.
(c) Find the vertical force exerted on the base of the rod. Ignore the weight of the rod.

(a) From the diagram, the angle T makes with the rod is given by
0 = 60
° +20.0° = 80
and the perpendicular component of Tis
T sin 80
Summing torques around the base of the rod, and applying Newton's second law in the horizontal and vertical
directions, Σ T = 0, and we have
- (³ 3.1
m)(
sin 80° = 0,
which gives
T =
8050
4.08709211284
=
(b) From ΣΕx 0, we have FH
X
=
8050
N) cos(60
sin(80.0⁰)
x 10³ N.
os(20. .0°) =
= T cos 20.0°
✓
Ncos 60
= 0, so
O
+
3.1
m
FH = T cos(20.0⁰) = = 4.087
Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a
mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize
roundoff error. × 10³ N.

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