# Maximum height

#### melissa_y

thin hoop of radius r = 0.13 m and mass M = 8.1 kg rolls without slipping across a horizontal floor with a velocity v = 4.0 m/s. It then rolls up an incline with an angle of inclination theta = 33o. What is the maximum height h reached by the hoop before rolling back down the incline

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#### wisredz

Show us what you have done...

#### aura

melissa_y said:
thin hoop of radius r = 0.13 m and mass M = 8.1 kg rolls without slipping across a horizontal floor with a velocity v = 4.0 m/s. It then rolls up an incline with an angle of inclination theta = 33o. What is the maximum height h reached by the hoop before rolling back down the incline
do it using conservation of energy...

rotational K.E + linear K.E= P.E( at the hight reached on the inclined plane)
take moment of inertia of a ring=1/2mr sqr abt the central axis while calculating rotational K.E.
u will straightaway get the ans by cancelling out M

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