4. A pendulum consists of a mass M hanging at the bottom end of a massless rod of length 1, which has a frictionless pivot at its top end. A mass m, with velocity v, impacts M and becomes embedded. What is the smallest value of v sufficient to cause the pendulum (with embedded mass m) to swing clear over the top of its arc? M

Physics for Scientists and Engineers with Modern Physics
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Chapter9: Linear Momentum And Collisions
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4. A pendulum consists of a mass M hanging at the bottom
end of a massless rod of length I. which has a frictionless
pivot at its top end. A mass m, with velocity v, impacts M
and becomes embedded. What is the smallest value of v
sufficient to cause the pendulum (with embedded mass m)
to swing clear over the top of its arc?
M
Known and unknown columns
Diagrams of the before and after collision &
choice of coordinate system.
What kind of collision?
O Elastic
O Perfectly inelastic
O inelastic
Apply conservation of momentum
Apply conservation of energy (define moments 1 & 2)
Result in symbols only & unit check
Transcribed Image Text:4. A pendulum consists of a mass M hanging at the bottom end of a massless rod of length I. which has a frictionless pivot at its top end. A mass m, with velocity v, impacts M and becomes embedded. What is the smallest value of v sufficient to cause the pendulum (with embedded mass m) to swing clear over the top of its arc? M Known and unknown columns Diagrams of the before and after collision & choice of coordinate system. What kind of collision? O Elastic O Perfectly inelastic O inelastic Apply conservation of momentum Apply conservation of energy (define moments 1 & 2) Result in symbols only & unit check
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