The figure shows a box of mass m 2 = 1.30 kg on a frictionless plane inclined at

Question

The figure shows a box of mass m2 = 1.30 kg on a frictionless plane inclined at angle ? = 33

The figure shows a box of mass m2 = 1.30 kg on a frictionless plane inclined at angle ? = 33 degree . It is connected by a cord of negligible mass to a box of mass m1 = 3.60 kg on a horizontal frictionless surface. The pulley is frictionless and massless. If the magnitude of horizontal force vector F is 2.3 N, what is the tension in the connecting cord? What is the largest value the magnitude of vector F may have without the cord becoming slack?

Explanation / Answer

a)

T = [g*sin? - (F/M)]/(1/m + 1/M)

T = (9.8*sin(33 deg) - 2.3/3.6) /(1/3.6 + 1/1.3)

T = 4.487 N

b)

For T = 0, a = g*sin? = F/M ?

F = M*g*sin?

= 3.6*9.8*sin(33 deg)

= 19.215 N

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