Solving Monkey Swing Physics Problem

In summary, the conversation discusses a problem involving a monkey hanging from two vines and swinging. The equations of sin, cos, and tan are provided for angles 30 and 60 degrees. The problem is divided into parts a, b, c, and d. Part c asks for the speed of the monkey at the lowest point of its first swing, while part d asks for the tension in vine B at the same point. The conversation suggests using conservation of energy to solve the problem. The tension in vines A and B before release is given as 9N and 5.13N respectively.
  • #1
Hothot330
11
0

Homework Statement


http://img256.imageshack.us/my.php?image=b911om5.jpg

sin30= .50 sin60= .87
cos30= .87 cos60= .50
tan30= .58 tan60= 1.73

A 5.0 kilogram monkey hangs initially at rest from two vines. A and B, as shown above. Each of the vines has length 10 meters and negligible mass.

For parts c and d:
The monkey releases vine A and swings on vine B. Neglect air resistance.
c. Determine the speed of the money as it pass through the lowest point of it's first swing.

d. Determine the tension in vine B as the monkey passes through the lowest point of its first swing.

Homework Equations


Centripetal force? m(v^2/r)


The Attempt at a Solution



Completed parts a and b. Force diagram and tensions in each vine before release. T1= 9N and T2= 5.13N

I'm not sure as what I am to do... I'm thinking that it has something to do with centripetal force but not sure cause he is swinging.
 
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  • #2
Part C - the easiest way is probably conservation of energy.
Calculate the difference in height between it's initial position and the position when the vine is at it's lowest point. PE = m g h and KE = 1/2 m v^2

Part D - don't forget you also have the weight of the monkey.
 
  • #3
that makes sense, thanks for the tip. Never would have thought to use conservation of energy.
 
  • #4
Hothot330 said:
Never would have thought to use conservation of energy.
It's always a good bet - it can't necessarily answer all questions (part D for instance) but when it's right it's right! And is generally simple, you don't have to worry about angles and vectors etc.
 
  • #5
ahh but how do you calculate the height? Are you sure the tension in both a and b are correct hothot?
 

1. What is the "monkey swing" physics problem?

The "monkey swing" physics problem is a classic physics problem that involves a monkey swinging from a vine in the jungle. The monkey starts at rest and swings back and forth, eventually reaching the other side of the vine. The goal of the problem is to calculate the monkey's speed and position at different points in time during the swing.

2. What are the key concepts involved in solving the monkey swing physics problem?

The key concepts involved in solving the monkey swing physics problem include understanding the forces acting on the monkey (such as gravity and tension), using Newton's laws of motion, and applying the principles of conservation of energy and conservation of momentum.

3. How do you approach solving the monkey swing physics problem?

To solve the monkey swing physics problem, you first need to draw a diagram and label all the known and unknown quantities. Then, use the appropriate equations and concepts to set up and solve equations for the unknown quantities. It is also helpful to break the problem down into smaller parts and apply the principles of kinematics to each part.

4. What are some common mistakes when solving the monkey swing physics problem?

Some common mistakes when solving the monkey swing physics problem include not considering all forces acting on the monkey, using incorrect equations or concepts, and not breaking the problem down into smaller, more manageable parts. It is also important to pay attention to the direction and sign of the quantities involved in the problem.

5. How can solving the monkey swing physics problem be applied in real life?

The principles and concepts used to solve the monkey swing physics problem can be applied in real life situations, such as understanding the motion of a pendulum or a rollercoaster. It can also be helpful for engineers designing structures that involve swings or other pendulum-like movements. Additionally, understanding the principles of conservation of energy and momentum can be useful in various fields, such as in sports or transportation.

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