Question

A mass m₁ = 6 kg rests on a frictionless table. It is connected by a massless and frictionless pulley to a second mass m₂ = 2.6 kg that hangs freely.

1)

What is the magnitude of the acceleration of block 1?

m/s²

2)

What is the tension in the string?

N

3)

Now the table is tilted at an angle of θ = 75° with respect to the vertical. Find the magnitude of the new acceleration of block 1.

m/s²

4)

At what “critical” angle will the blocks NOT accelerate at all?

°

5)

Now the angle is decreased past the “critical” angle so the system accelerates in the opposite direction. If θ = 38° find the magnitude of the acceleration.

m/s²

6)

Compare the tension in the string in each of the above cases on the incline:

T_{θ at 75°} = T_θcritical = T_{θ at 38°}

T_{θ at 75°} > T_θcritical > T_{θ at 38°}

T_{θ at 75°} < T_θcritical < T_{θ at 38°}

Answer 1

bて49