A mass m = 6.3 kg rests on a frictionless table. It is connected by a massless a

Question

A mass m = 6.3 kg rests on a frictionless table. It is connected by a massless and frictionless pulley to a second mass m2 3.3 kg that hangs freely. 1) What is the magnitude of the acceleration of block 1? 3.37 m/s Submit 2) What is the tension in the string? 21.2 N Submit 3) | Now the table is tilted at an angle of = 75° with respect to the vertical. Find the magnitude of the new acceleration of block 1 23.37 m/st Submit 4) At what "critical" angle will the blocks NOT accelerate at all? 1 submit 5) Now the angle is decreased past the "critical angle so the system accelerates in the opposite direction. If 30 find the magnitude of the acceleration. m/s Submit

Explanation / Answer

1) on m2: 3.3g - T = 3.3 a

on m1: T = 6.3 a

(3.3 x 9.81) / (3.3 + 6.3) = a

a =3.37 m/s^2

2) T = 6.3 a = 21.2 N

3) 3.3g - T = 3.3 a

T - 6.3 g cos75 = 6.3 a

a = (3.3 - 6.3 cos75) (9.81) / (3.3 + 6.3)

a = 1.71 m/s^2

4) then 3.3g - 6.3 g cos(theta) = 0

theta = 58.4 deg

5) T - 3.3 g = 3.3 a

6.3 g cos30 - T = 6.3a

a = 2.20 m/s^2

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