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  1. The resultant force on the contacting gear tooth is N is
    1. 77.23
    2. 212.20
    3. 2258.1
    4. 289.43
Correct Option: C

P = Tω
∴ 20 × 103 =T.2π × 30
⇒ T =106. 1 Nm
Now, T = Ft. r

Here, r =
mTp
=
5 × 20
= 50 nm = .05 m
22

Ft =
106.1
=
106.1
= 2122N
r.05

∴ Resultant force,
F =
Ft
=
2122
= 2258 N.
cos θcos 20°



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