Question

of é We wie da) ve B Kie S orse distance tory sem boas par m . . 37° 0,8. Sunt Problem 2. A massless pulley is fixed to the top of an inclined une the figure. Two blocks each of mass m the ends of a massless tope pasing Over friction between the second block and the the system comes to motion. Find (a) the tension (T) of the rope, (e). The kineti instant when the bodies have passed dista stance n ition force at the instant when the system ben Take the free-fall acceleration as g=10m/s2 and sin 37° = 0,6,COS 37° nga: m.a surface is enough long. (28 points) ebo . Eva

Answer 1

let the acceleration of the system be a m/s^2

writing the force equation for both the blocks we have

5g - T = 5a --------(1)

T - 5gsin37 - u*5*g*cos 37 = 5a ----------(2)

u = 0.25

adding both equation we have

3g = 10a

a = 3*9.8/10 = 2.94 m/s^2

T = 5(g - a) = 5*(9.8 - 2.94) = 34.3 N

c) v^2 = u^2 + 2aS

v^2 = 0 + 2*2.94*1 = 5.88

KE = 0.5*m*v^2 = 0.5*5*5.88 = 14.7 J