Question

a small body of mass 0.10 kg is executing s.h.m of amplitude 1.0 m and period 0.20s. the maximum force acting on it is​

Answer 1

Answer:98.6

Explanation:

Answer 2

$\huge\underline{\underline{\bf \orange{Question-}}}$

A small body of mass 0.10 kg is executing s.h.m of amplitude 1.0 m and period 0.20s. the maximum force acting on it is

$\huge\underline{\underline{\bf \orange{Solution-}}}$

$\large\underline{\underline{\sf Given:}}$

• Mass of body (m) = 0.1 kg
• Amplitude (A) = 1 m
• Time Period (T) = 0.2 sec

$\large\underline{\underline{\sf To\:Find:}}$

• Maximum Force (F)

We know

❏$\large{\boxed{\bf \blue{\omega =\dfrac{2π}{T}} }}$

$\implies{\sf \omega = \dfrac{2×3.14}{0.2}}$

$\implies{\sf \pink{\omega = 31.4} }$

❏$\large{\boxed{\bf \blue{F=m\omega^2 r}}}$

$\implies{\sf F=0.1×(31.4)^2×1 }$

$\implies{\bf \red{F=98.5N}}$

$\huge\underline{\underline{\bf \orange{Answer-}}}$

Maximum Force acting on it is ${\bf \red{98.5N}}$.