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thank you in advance for making answers clear, will rate! The figure below shows

ID: 2289855 • Letter: T

Question

thank you in advance for making answers clear, will rate!

The figure below shows an Atwood machine with two masses (m1 and m2) initially at rest at the same height. After they are released, the large mass, m2, falls a distance h and hits the floor, while the small mass, m1, rises the same distance h.

(a) Find the speed of the masses just before m2 lands. Assume the ropes and pulley have negligible mass and that friction can be ignored. (Use any variable or symbol stated above along with the following as necessary: g for the acceleration due to gravity. Do not substitute numerical values; use variables only.)
v =  

(b) Evaluate your answer to part (a) for the case where h = 1.4 m, m1 = 3.3 kg, and m2 = 4.3 kg.
m/s

Explanation / Answer

m1

m2

m2>m1

for m2

m2g-T=m2a

for m1

T-m1g=m1a

adding

(m2-m1)g=(m1+m2)a

a=(m2-m1)g/(m1+m2)

part a)

now we know

for m2

v2-u2=2ah

u=0

v=(2ah)1/2

part b)

here values of h,m1,m2 are given