TS EAMCET 19-July-2022 Shift 1 Solved Paper

Length of simple pendulum,
l=1m
Mass of bob, m=100g=0.1‌kg
Radius of circular track, R=100m
Speed, v=10m/ s
The bob of the simple pendulum will experience acceleration due to gravity which provide centripetal acceleration in the circular motion of the car.
Centripetal acceleration, ac=v2/R
where, v is the uniform speed of the car and R is the radius of track.
∴ Effective value of acceleration,
∴ Time period, T=2π√‌

l

g′

‌=2π√‌

l

√g2+‌ v4 R2

=2π√‌

1

√102+‌ 104 (100)2

‌=2π√‌

1

√102+1

⇒‌‌T‌=‌

2π

√‌ 1 √101

=‌

2π

(101)1∕4

‌=‌

2π

α1/4

  (Given)
∴‌‌α=101