Two blocks are connected by a light string with one block of 5kg mass sitting on a frictionless 30degree incline plane and the second block of 8kg mass hangs from the string which runs over a frictionless light pulley.
A) Find the acceleration of the block on the plane.
B) Find its velocity after traveling 2m along the plane from rest.
A) Find the acceleration of the block on the plane.
B) Find its velocity after traveling 2m along the plane from rest.
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Sin(30)*5kg*9.8 = 2.5kg*g (gravity of sloped block in direction of travel)
Force on sloped block = 8kg*g - 2.5kg*g = 5.5kg*g (net force on the system)
F=ma (mass of both blocks because we want the acceleration of the system)
5.5g=13*x
0.423g=x = 4.15ms-2
b)
d=.5at^2 ... t= .98 ... at=v
v = 4.07
Force on sloped block = 8kg*g - 2.5kg*g = 5.5kg*g (net force on the system)
F=ma (mass of both blocks because we want the acceleration of the system)
5.5g=13*x
0.423g=x = 4.15ms-2
b)
d=.5at^2 ... t= .98 ... at=v
v = 4.07