Question

An inclined plane ends into a vertical loop of radius r as shown in figure. If a particle of mass m is released from topmost point. The point C on the track as shown in the figure and centre of circular tack are at same horizontal level. The normal force at point C is -

• A. 8 mg
• B. 7 mg
• C. 1 mg
• D. 3 mg

Answer 1

Answer: (A)

8 mg

Answer 2

Apply energy conservation b/w

highest point & pt C,

mg Ч 4r = $\frac { 1 } { 2 }$mv²

v = $\sqrt { 8 \mathrm { gr } }$

N = $\frac { \mathrm { mv } ^ { 2 } } { \mathrm { R } }$ at point C

N = 8mg