Rotational dynamics/Rigid objects in equilibrium

In summary, the conversation focused on solving a net force equation involving the Y vector and a weight. The attempt at a solution involved utilizing torque and the equation provided, but there were difficulties in fitting in a specific spot. It was suggested to change the direction of the M force and an equation was provided, resulting in a value of 1200N for M. However, there were doubts about this answer and a different answer from an answer sheet was mentioned. The conversation ended with thanks for the quick response and surprise at the efficiency of the forum.
  • #1
giant016
21
0

Homework Statement



physics.jpg


Homework Equations


Net force of the Y vector: -F1 + F2 - weight = 0


The Attempt at a Solution



I tried to solve the equation thinking that m could = torque (torque=force X length of lever arm) but I couldn't figure out how to fit in that .025m spot in between the joint and the muscle. Not sure if the equation provided will really help. Any help is appreciated!
 
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  • #2
The question is tricky because the M force is drawn in the wrong direction. The M force is the blue arrow up, not a black arrow going right. Put an equation equal to 0 where clockwise moments are positive and counterclockwise are negative
0 = (0.025)(M) + (0.15)(22) - (0.3)(111)
M = 1200N

That doesn't seem right. That's equivalent to 122kg, resting on 1 muscle.
 
  • #3
ShawnD said:
The question is tricky because the M force is drawn in the wrong direction. The M force is the blue arrow up, not a black arrow going right. Put an equation equal to 0 where clockwise moments are positive and counterclockwise are negative
0 = (0.025)(M) + (0.15)(22) - (0.3)(111)
M = 1200N

That doesn't seem right. That's equivalent to 122kg, resting on 1 muscle.

We have an answer sheet (it's a multiple choice question) and one of the answers is 1.2X10^3, and your equation makes sense, so...Thanks! I'm on some other forums (mostly car junk) and I've never gotten an answer that quick!
 

1. What is rotational dynamics?

Rotational dynamics is a branch of physics that studies the motion of objects that rotate or spin around a fixed axis. It involves understanding the forces and torques that act on a rigid body in order to predict its motion and stability.

2. What is a rigid body?

A rigid body is an object that maintains its shape and size even when subjected to external forces. This means that the distance between any two points on the object remains constant, allowing for the application of rotational dynamics principles.

3. What is equilibrium in rotational dynamics?

Equilibrium in rotational dynamics is a state where the sum of all forces and torques acting on a rigid body is equal to zero. This means that the body is not rotating or accelerating, and it is in a stable position.

4. What is the difference between static and dynamic equilibrium?

Static equilibrium refers to a system where all forces and torques acting on a rigid body are balanced, resulting in no motion or rotation. Dynamic equilibrium, on the other hand, occurs when a body is in motion or rotation at a constant speed, with all forces and torques balanced.

5. How is rotational dynamics applied in real-world scenarios?

Rotational dynamics has many practical applications, such as in the design and analysis of machines and structures that involve rotating parts, such as engines, turbines, and propellers. It is also used in the study of celestial bodies and their movements, as well as in sports like gymnastics and figure skating.

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