Question
In Class Part Examination Two (HRW Chapters Chapters 5-8) 1112 llease answer ench problem. Partial credit will be pi answers in terms of fractiogs in simpiest Goem uniless spes to get full credit. This part of the esamination is resistance are neglected all n onder is werth 25 points. Assune that the effeets of ar Partial credit will be given for showing all work. Pheas h stmmpliest form unless specifed. AM wock must he shown in on en for showingalk mirkbeheernesoftin A fac aetory worker accidentalty releases a crate of mass m hat was loikially being hekds a rest at the lop of a ramp with length d thal iineline the horicontal. The tween the crate and the ramp, and between the crate and is inclined M, ingle it to the coefficient of kinetic triction be the horizontal factory floor, is for the acceleration of gravity. Us any variable or symbol valed above along wit (a) Using what you know, write down the espression for the accekeration of the crate (a) moving down the ramp (8 points). (b) How fast is the crate moving (v) as it reaches the bonom of the ramp ( points)?
Explanation / Answer
1)
crate of mass is released from top of ramp
it is sliding down
resolve force components in verticle and horizontal direction
accelration due to gravity
=mg
along verticle direction
FN-mgcos(theta)=0
along horizontal direction
net force=ma
mu*FN+mgsin(theta)=ma
mu*mgcos(theta)+mgsin(theta)=ma
accelration of crate
a=g(sin(theta)+gcos(theta))
2)
distance travelled by crate
s=0.5at2
if velocity of crate knows