An aircraft flies a vertical loop at constant speed u. Apparent weight of the pilot at bottom is twice that at top. If loop radius R=nu²/g, find n.
Physics · Mixed Chapter
JEE Main Practice

Question

An aircraft flies a vertical loop at constant speed u. Apparent weight of the pilot at bottom is twice that at top. If loop radius R=nu²/g, find n.

G1 Physics · Accepted Answer

Step 1: At bottom, N_b−mg=mu²/R ⇒N_b=m(g+u²/R). Step 2: At top, mg+N_t=mu²/R ⇒N_t=m(u²/R−g). Step 3: N_b=2N_t gives g+u²/R=2u²/R−2g. Step 4: u²/R=3g ⇒R=u²/(3g). Thus n=3.