Day 11 - Help Session

Day 11 - Help Session#

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Announcements#

  • HWs are getting graded

    • Submit Regrade request with evidence for concerns

  • Project planning in starting with HW 4; starting thinking about a partner/group for final

  • Office hours today 14:00-16:00 (BPS 1248)

HW 4 Exercise 3, Sliding puck#

A small puck rests on a fixed sphere of radius \(R\). The puck is given a tiny nudge and it slides down the sphere. Using conservation of energy, we can determine the point at which the puck leaves the sphere.

  • 3a Setup the problem with a sketch. Explain the setup and include any assumptions that you need to make in order to solve the problem analytically. Identify the height as a function of the polar angle, \(h(\theta)\). What is the maximum possible angle \(\theta\) that the puck could reach before falling off? Why?

HW 4 Exercise 3, Sliding puck#

A small puck rests on a fixed sphere of radius \(R\). The puck is given a tiny nudge and it slides down the sphere. Using conservation of energy, we can determine the point at which the puck leaves the sphere.

  • 3b Use conservation of energy to find the speed of the puck as a function of it’s height. Your answer should be in terms of the polar angle, \(\theta\).

  • 3c Use Newton’s Second Law to find the normal force acting on the puck as a function of it’s height. Your answer should be in terms of the polar angle, \(\theta\). What is the condition for the puck to leave the sphere?

HW 4 Exercise 3, Sliding puck#

A small puck rests on a fixed sphere of radius \(R\). The puck is given a tiny nudge and it slides down the sphere. Using conservation of energy, we can determine the point at which the puck leaves the sphere.

  • 3d At what angle and height does the puck leave the sphere?

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