Question

4. Determine the maximum force P which can be applied before slipping occurs a point A. The relevant parameters are m-6kg, R-0.12 m. - .0486 kg-m', #1. - 0.2 and A-0.15. (40) <

Answer 1

N PP 30 fa my 30 let, a be acceleration of centre of mass. [P-f mgsinso] =ma and N= mg ooo - 6x 9.81 X con 30 - 5o. 9742 so mar MON - (0.2% 50-9742) N max 10.195 N 72

and Torque IXO fx R= I XX for no rolling au Roa (a)= alr >> f R é Ila) R OD A= FR² I in kut value of a equation o p-of-mg nin 20 - m. f R² I > P= oft mg sin 30 + m f R2 I for Pmax, f = fmax

Pmax = tmax (at mri MR² ) + mg sin zo = 10.195 (1 + 6x 0-122 o caitz) + 5*3-7189 57.75 N Pmax y for rolling