- #1
IamVector
- 98
- 9
- Homework Statement
- A cylinder with radius R spins around its axis with an
angular speed ω. On its inner surface there lies a small block;
the coefficient of friction between the block and the inner sur-
face of the cylinder is μ. Find the values of ω for which the
block does not slip (stays still with respect to the cylinder).
Consider the cases where (a) the axis of the cylinder is hori-
zontal; (b) the axis is inclined by angle α with respect to the
horizon.
- Relevant Equations
- so I as it is in rotation
it will experience centripetal force
and required angle for a object not to slip = tanμ
so I expressed cos and sin in it and got this relation
mω²rμ +mg(μ/√μ²+1) =mg(μ/√μ²+1)
but this is irrelevant for finding ω .
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