Most Important Selected Qs for JEE AdvancedPhysicsRotational Motion
Paragraph: A simplified model of a bicycle of mass M has two tyres that each comes into contact with the ground at a point. The wheelbase of this bicycle (the distance between the points of contact with the ground) is w , and the center of mass of the bicycle is located midway between the tyres and at height h above the ground. Air resistance may be ignored. Case-2 : The bicycle is moving to the right, but slowing do
Options
- Aw 2 h
- Bh 2 w
- C2 h w
- Dw h
Correct answer
A. w 2 h
Step-by-step solution
f ₁+ f ₂= f = ma (i) N = N ₁+ N ₂= mg (ii) ( _ net )_ cm =0 ( f ₁+ f ₂ ) h + N ₁ w - N ₂ w =0 (iii) f ₁+ f ₂= f = N ₁+ N ₂ (iv) From (ii) & (iii) aligned & N ₂= 1 2 [ mg - 2 f h w ] & N ₁= 1 2 [ mg + 2 f h w ] aligned For both the tyres to remain in contact with the ground, aligned & N ₂ 0 & mg 2 ~h w ( mg ) [ using (iv) ] aligned w 2 h