Question 1, chap 111, sect 1. part 1 of 2 10 points A plank having mass 3.4 kg r

Question

Question 1, chap 111, sect 1. part 1 of 2 10 points A plank having mass 3.4 kg rides on of two identical solid cylindrical rollers each having radius 4.8 cm and mass 2.3 kg. The plank is pulled by a constant horizontal force 6 N applied to its end and perpen dicular to the axes of the cylinders (which are parallel). The cylinders roll without slipping on a flat surface. There is also no slipping between cylinders and plank. HA mR mR Find the acceleration of the plank. Answer in units of m/s Question 2, chap 111, sect 1. part 2 of 2 10 points Find the frictional force acting on the plank. Answer in units of N.

Explanation / Answer

on planck: F - 2f = M a

on cylinder, fnet = m a

f - f' = m a ..... (ii)

and torque = I alpha

R(f + f') = (m R^2 / 2) (a / R)

f + f' = m a /2 .... (iii)

(ii) + (iii) => 2f = 3 m a / 2

F - 3 m a / 2 = M a

6 = (1.5x2.3 + 3.4) a

a = 0.876 m/s^2 ..........Ans

f = 3 x 2.3 x 0.876 / 4

f = 6.04 N ........Ans

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