Question
In: Physics
Consider a particle which is constrained to move along the surface of the sphere of radius...
Consider a particle which is constrained to move along the surface of the sphere of radius 5, centered at the origin.
(a) If we write r(t) for the motion, write down the condition ‘constrained to move along the surface of the sphere of radius 5 centered at the origin’ in terms of r(t). (Hint. For later use, try to get rid of square roots.)
(b) Explain why, for such a motion, we must have r 0 (t) ⊥ r(t). (Hint. Differentiate your answer from the previous part.)
(c) What can you say about the acceleration? (Hint. Differentiate your answer from the previous part. Draw a picture.)
Solutions
genius_generous answered 2 years agoRelated Solutions
A particle of mass m is constrained to a circle of radius r0: that is, the...
A particle of mass m is constrained to a circle of radius
r0: that is, the potential for the particle is 0 when
the
particle is anywhere on that circle and infinite everywhere
else,
?(?) = 0 (r=r0)
V(r) = ∞ (? ≠ ?0)
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A particle of mass m is constrained to lie along a frictionless, horizontal plane subject to...
A particle of mass m is constrained to lie along a frictionless,
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A particle of mass m is constrained to lie along a frictionless, horizontal plane subject to...
A particle of mass m is constrained to lie along a frictionless,
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The Simple harmonic oscillator: A particle of mass m constrained
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