Question

all formulaes for linear machanics and rotatinal machanics

Answer 1

Terms and Formulae

Terms

Torque  -  The rotational analogue to force.

Moment Of Inertia  -  The property of an object that dictates its angular acceleration.

Rolling Without Slipping  -  The special case of combined rotational and translational motion in which the part of the object in contact with the ground has zero velocity.

Formulae

 

Definition Of Torqueτ = Fr sinθ

 

Vector Definition Of Torqueτ = r×F

 

Relation Between Τ And Ατ = mr2α

 

Rotational Analogue To Newton's Second Lawτ = Iα

 

Definition Of Work In Angular MotionW = τμ

 

Integral Definition Of Work In Angular MotionW =τdμ

 

Definition Of Kinetic Energy In Angular MotionK =Iσ2

 

Definition Of Power In Angular MotionP = τσ

 

Relation Between Linear And Angular Velocity When An Object Is Rolling Without Slippingvcm = σr

 

Kinetic Energy When An Object Rolls Without Slipping, In Terms Of VK =mv2 +I

 

Kinetic Energy When An Object Rolls Without Slipping, In Terms Of ΣK =mσ2r2 +Iσ2

 

Formula For The Moment Of Inertia Of A Rigid BodyI =r2dm