all formulaes for linear machanics and rotatinal machanics
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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
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
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