two objects are connected by a light string that passes over a frictionless pulley. assume the incline is frictionless and take m1 - 2 kg and m2 = 6 kg and $\theta$ = 55 degrees. draw a freebody diagram for each. find the magintude of the acceleration of the objec and the tension in the string and the speed of each object at 2 s after it's released from rest

Question

lgbasallote · Answer

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lgbasallote · Answer

my answer is b) acceleration = 7.15 m/s^2
c ) 5.3 N
d) idk

lgbasallote · Answer

btw.. b is what's the acceleration
c what is the tension
d is what is the speed at 2 seconds

anonymous · Answer

take  accltn due to gravity g = 9.8 m s-2

consider m1
apply Newtons 2nd law

T - 2g = 2a              a= accltn
consider m2

force down slope = 6g sin 55
6gsin55 - T = 6a

solve for a and T

(i am assuming that resultant force acts down slope)

gotta go

lgbasallote · Answer

so am i right? lol..i'd love to know if im right or wrong first before i delve into solutions hehe

anonymous · Answer

@lgbasallote my answers don't match with yours.
i got a = 3.57 m/s^2
T = 26.74 N
and speed for both = 7.14 m/s

lgbasallote · Answer

but how?

anonymous · Answer

did u get the same equations as daijones?

anonymous · Answer

this is the FBD for m1
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