Example Non Zero Torque on System What is the moment of inertia of this object

# Example non zero torque on system what is the moment

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Example: Non-Zero Torque on System

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What is the moment of inertia of this object? A. (4m+M)b 2 B. (4m+M)R 2 C. (4m+M)·(b+R) 2 D. ½ (M+4m)R 2 E. ½ MR 2 + 4mb 2 2 1 NOTE: 2 disk disk disk I M R = Q4.
C. What is the moment of inertia of this object? 2 2 2 i i i all all particles all particles particles in disk in one mass m m 4 m i i i I r r r = = + × Assume rods have all mass concentrated at r =b 4 disk rod I I I = + × 2 2 1 4 2 I MR mb = + Example: Non-Zero Torque on System

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D. How much work was done on the device? We’re not talking about the point particle system anymore. The point where the force acts actually moves through the distance w+d ( point of application of F W F r F w d = ⋅∆ = + arrowrightnosp arrowrightnosp Example: Non-Zero Torque on System
E. What is the final angular speed of the device? We could try the angular momentum principle: , but what’s t ? We could find t via the momentum principle, but instead let’s use the energy principle to find L rot,f . sys trans rot E W Q K K W = + + ∆ = , , A net ext A L t τ = arrowrightnosp arrowrightnosp L rot,f = I ϖ , and we know I : if we can find L rot,f , can get ϖ . ( ( , , , , trans f trans i rot f rot i K K K K W - + - = ( 29 2 , , 2 2 rot f rot f L Fd F w d L IFw I + = + = , , 2 2 2 4 8 rot f rot ff Fw Fw L L I I MR mb ϖ ϖ = = = + arrowrightnosp E rest , E therm , U, etc. = 0 Example: Non-Zero Torque on System

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