Physics Problems With Solutions Mechanics For Olympiads And Contests Link !!link!! -

. Assuming the amplitude of oscillation is small and neglecting higher-order terms of the Earth's angular velocity Ωcap omega , derive the angular velocity ωpomega sub p

Eend=12mv2+15mv2=710mv2cap E sub e n d end-sub equals one-half m v squared plus one-fifth m v squared equals seven-tenths m v squared Set start energy equal to end energy. mgh=710mv2m g h equals seven-tenths m v squared Solve for v:

Rigid body motion, angular momentum.

vuddt(xA−x)=v2u−vcosθv over u end-fraction d over d t end-fraction open paren x sub cap A minus x close paren equals the fraction with numerator v squared and denominator u end-fraction minus v cosine theta Now, add the two equations together:

at which the plane of oscillation rotates due to the Coriolis force. vuddt(xA−x)=v2u−vcosθv over u end-fraction d over d t

https://archive.org/details/irodov-problems-in-general-physics_202007

We want the block to stay still on the wedge. This force is Draw real forces: Gravity pulls down ( )

The block feels a fake force backward. This force is Draw real forces: Gravity pulls down ( ). The wedge pushes out (

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