What is the tension in the left-hand string?

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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4. A 1.45 kg ball is connected by means of two ideal strings to a horizontal, rotating rod. The strings are tied to the rod
and are taut. The right string is 28.0 cm long and has a tension of 33.1 N, and it makes an angle 02 = 53.0° with the rod,
while the left string makes an angle 0₁ = 62.0° angle with the rod. At the instant shown the ball is at its lowest point. (a)
What is the tension in the left-hand string?
3
E
D
20
R
888
N
96
5
T
G
6
B
MacBook Air
Y
0₁
H
7
N
W
U
14
8
J
0₂
Dil
1
M
(
9
K
DD
O
F
O
38
L
P
+
[
?
43
Transcribed Image Text:S X 4. A 1.45 kg ball is connected by means of two ideal strings to a horizontal, rotating rod. The strings are tied to the rod and are taut. The right string is 28.0 cm long and has a tension of 33.1 N, and it makes an angle 02 = 53.0° with the rod, while the left string makes an angle 0₁ = 62.0° angle with the rod. At the instant shown the ball is at its lowest point. (a) What is the tension in the left-hand string? 3 E D 20 R 888 N 96 5 T G 6 B MacBook Air Y 0₁ H 7 N W U 14 8 J 0₂ Dil 1 M ( 9 K DD O F O 38 L P + [ ? 43
Expert Solution
Step 1

Given:

Mass of ball is m=1.45 kg

Ball is connected to two ideal strings which are linked with horizontal rotating rod.

Length of right string is lr=28 cm

Tension in right string is Tr=33.1 N

Right string makes an angle θ2=53° with horizontal rod.

Left string makes an angle θ1=62° with rod.

Ball is at its lowest point.

Find:

The tension in the left string.

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