(i) In the lab you will increase the angle of inclination of a plane just to the point that the ramp starts sliding. Call this special angle 0. Prove pls tan 0 where l, is the coe %3D

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter2: Newtonian Mechanics-single Particle
Section: Chapter Questions
Problem 2.16P: A particle is projected with an initial velocity 0 up a slope that makes an angle with the...
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I can’t figure out ii or iii
(i) In the lab you will increase the angle of inclination of a plane just to the point that a block on
the ramp starts sliding. Call this special angle 0. Prove p,
static friction.
= tan 0 where u, is the coefficient of
Fn= mg
f net = for - fg
ma = Mfn-mg
x: ma = SingM mg- mg
ma= costumg- mg
So ma= Sino Mmg -my ♡
COSH
Because the block is at
ma= tan@u mg -mg
rest, the angle A length of xAy
will determine when it starts to side
(ii) At this angle, the block will begin to accelerate down the slope of the plane. You will measure
the x- and y-components of this acceleration (a, and a,). Prove that µs
Ay
Transcribed Image Text:(i) In the lab you will increase the angle of inclination of a plane just to the point that a block on the ramp starts sliding. Call this special angle 0. Prove p, static friction. = tan 0 where u, is the coefficient of Fn= mg f net = for - fg ma = Mfn-mg x: ma = SingM mg- mg ma= costumg- mg So ma= Sino Mmg -my ♡ COSH Because the block is at ma= tan@u mg -mg rest, the angle A length of xAy will determine when it starts to side (ii) At this angle, the block will begin to accelerate down the slope of the plane. You will measure the x- and y-components of this acceleration (a, and a,). Prove that µs Ay
ay
(iii) Prove that the coefficient of kinetic friction can be expressed as uk =
a2
Note that g
gaz
is the acceleration due to gravity and a2 = a2 +a.
Transcribed Image Text:ay (iii) Prove that the coefficient of kinetic friction can be expressed as uk = a2 Note that g gaz is the acceleration due to gravity and a2 = a2 +a.
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