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TBBTs
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Homework Statement
See attachment or here http://i.imgur.com/zBDa0.png
Homework Equations
Torque = FR
Moment of Inertia of Rod at End = I = 1/3 ML ^2
The Attempt at a Solution
http://i.imgur.com/3Avqh.png
Doc Al said:For question A:
- Since the wall is frictionless, the force it exerts must be normal to the wall.
- Don't forget the normal force from the floor, when drawing your FBD.
For question B:
- Where's the center of mass?
Welcome to PF!TBBTs said:Hi!
Thank you for replies.
Right.A) So there are four forces?
Mg,Normal force from the wall and floor and Tension,
What about it? Tell me the direction of each force.but what about the direction?
If you like. (Not really needed.) But what's the moment of inertia of a point mass about an axis?B) Do I use Parallel Axis Theorm for this quesion?
Doc Al said:Welcome to PF!
Right.
What about it? Tell me the direction of each force.
If you like. (Not really needed.) But what's the moment of inertia of a point mass about an axis?
Please define N and Fh. (What hinge?)TBBTs said:For first part of my question, I use
1) sin30* N + Fh(Force of hinge) = Mg Fy
Same problem.2) Fx: T=Ncos30
When finding torque, R is the perpendicular distance from the line of action of the force to the pivot point.3) Torque: T*Lsin60 + Mg*Lcos(60) - NL =0
Are these equations right? I am so confused about how to determine the r of the torque (The torque formula is FR but how suppose I determine R?)
You can just make counterclockwise torques positive and clockwise torques negative. (The right hand rule is useful for problems in three dimensions. Here you don't really need it.)I am also confused about the direction of Torque,I know it supposed to use right hand rule and curl up my fingers to the direction its rotating,but since it is in equlibrium now,how suppose I know the way it is rotating?
Equilibrium refers to a state in which all forces acting on an object are balanced, resulting in no acceleration or movement. Moment of inertia, on the other hand, is a measure of an object's resistance to rotational motion.
Equilibrium is achieved when the sum of all forces acting on an object is equal to zero. This can be represented by the equation ΣF = 0, where ΣF is the sum of all forces and 0 represents the balanced state.
Moment of inertia is calculated by considering both the mass and distribution of mass of an object. It can be calculated by the formula I = Σm*r^2, where I is the moment of inertia, Σm is the sum of all the mass elements, and r is the distance from the axis of rotation.
The main factors that affect moment of inertia are the mass and distribution of mass of an object. Objects with a higher mass or with more mass concentrated further from the axis of rotation will have a higher moment of inertia.
Equilibrium and moment of inertia are important concepts in many areas of science and engineering. They are used in the design and analysis of structures, such as bridges and buildings, as well as in the study of rotating objects, such as wheels and gyroscopes.