A branch of a tree grows out from the trunk at an angle of 26.0° above the horizontal. Two children hang by their hands from the branch of the tree. The first child has a mass of 43.0 kg and hangs 1.40 m from the tree trunk, as measured along the length of the branch. The second child, with a mass of 34.5 kg, hangs 1.95 m from the tree trunk, also measured along the branch. Determine the magnitude (in N · m) of the net torque exerted on the branch by the children, about an axis located where the branch joins the tree trunk and is perpendicular to the plane formed by the branch and the trunk.

Question
Asked Mar 22, 2019
39 views
A branch of a tree grows out from the trunk at an angle of 26.0° above the horizontal. Two children hang by their hands from the branch of the tree. The first child has a mass of 43.0 kg and hangs 1.40 m from the tree trunk, as measured along the length of the branch. The second child, with a mass of 34.5 kg, hangs 1.95 m from the tree trunk, also measured along the branch. Determine the magnitude (in N · m) of the net torque exerted on the branch by the children, about an axis located where the branch joins the tree trunk and is perpendicular to the plane formed by the branch and the trunk.
check_circle

Expert Answer

star
star
star
star
star
1 Rating
Step 1

Given,

Mass of 1st child, m1 = 43.0 kg

Mass of 2nd child, m2 = 34.5 kg

Distance of 1st child from trunk, d1 = 1.40 m

Distance of 2nd child from trunk, d2 = 1.95 m

Angle of branch from trunk, α = 26.0o

Step 2

Formula used:

Weight = Force (F) = mass x acc. due to gravity = mg

Torque (T) = Force x perpendicular distance = F x d

Free body diagram of branch is below

fullscreen
Step 3

Net torque exerted on the branch by ...

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Science

Physics

Related Physics Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: One simple model for a person running the 100 m dash is to assume the sprinter runs with constant ac...

A: Given information: The maximum speed of the sprinter is 11.5 m/s, time taken to reach the maximum sp...

question_answer

Q: In the figure the resistances are R1 = 1.2 Ω and R2 = 2.4 Ω, and the ideal batteries have emfs ε1 = ...

A: In the left side loop, using Kirchoff’s voltage law,

question_answer

Q: The magnitude J of the current density in a certain wire with a circular cross section of radius R =...

A: GivenCurrent Density J = (3.18 x 108)r2Radius R = 2.21 x 10-3 mSolutionThe current through the outer...

question_answer

Q: A 4.0-kg mass has a velocity of 4.0 m/s, east when it explodes into two 2.0-kg masses. After the exp...

A: The magnitude of the velocity of the other mass can be calculated using given steps:Given:

question_answer

Q: The cube in the figure has edge length 1.87 m and is oriented as shown in a region of uniform electr...

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

question_answer

Q: Two large, parallel, conducting plates are 15 cm apart and have charges of equal magnitude and oppos...

A: Given:Distance between two large parallel conducting plates, d= 15 cm =0.15 mEqual and opposite char...

question_answer

Q: Estimate the widest stance you can take when standing on a dry, icy surface. That is, how wide can y...

A: A person put his step on Icy surface, assume the force in one step is F making an angle with the ver...

question_answer

Q: Chapter 29, Problem 021 Your answer is partially correct. Try again. The figure below shows two very...

A: From the symmetry of the wires, the net magnetic field at point P is,

question_answer

Q: Please show me how to work this. Don't round any figures please.

A: The dot product of two vectors can be calculated using following steps,Given:The magnitude of vector...