incline with The incline rizontal sur- ra distance

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A block with mass m starting from rest at
point A is sliding down a rough incline with
kinetic coefficient of friction µ. The incline
has angle 0 with respect to the horizontal sur-
face. As the block slides down for a distance
O 1. KB = m gs cos 0 – µ mgs cos 0
8, it passes point B.
O 2. KB = mgs sin 0 + µ m gs sin 0
O 3. KB = mgs cos0 – µm gs sin 0
m
O 4. KB = mgs sin 0 + µ mgs cos 0
v =0
O 5. KB = mgs sin 0 – µm g s sin 0
m
О6. Кв — тgs sin@ — дтдs cos®
B
O 7. KB = m gs cos 0 + µ mgs cos 0
O 8. KB = m gs cos 0 + µ mgs sin 0
Find the kinetic energy of the block as it
passes B.
Transcribed Image Text:A block with mass m starting from rest at point A is sliding down a rough incline with kinetic coefficient of friction µ. The incline has angle 0 with respect to the horizontal sur- face. As the block slides down for a distance O 1. KB = m gs cos 0 – µ mgs cos 0 8, it passes point B. O 2. KB = mgs sin 0 + µ m gs sin 0 O 3. KB = mgs cos0 – µm gs sin 0 m O 4. KB = mgs sin 0 + µ mgs cos 0 v =0 O 5. KB = mgs sin 0 – µm g s sin 0 m О6. Кв — тgs sin@ — дтдs cos® B O 7. KB = m gs cos 0 + µ mgs cos 0 O 8. KB = m gs cos 0 + µ mgs sin 0 Find the kinetic energy of the block as it passes B.
Expert Solution
Step 1

Given:

A block with mass (m) starting from rest at point A sliding on a horizontal surface.

The Kinetic energy of the block is determined below.

Step 2

From the given diagram,

There is no acceleration perpendicular to the incline, it is given as,

N=mg cosθ

 

The Net force along the incline is given as,

fnet=mgsinθ-f

f=μN

On substituting "N" value,

f=μmg cosθ

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