A mass is suspended from a spring having spring constant ‘K’ is displaced vertically and released, it oscillates with period ‘T’. The weight of the mass suspended is (g = gravitational acceleration)

Question

A mass is suspended from a spring having spring constant ‘K’ is displaced vertically and released, it oscillates with period ‘T’. The weight of the mass suspended is (g = gravitational acceleration) (A) (KTg/4π2) (B) (KT2g/4π2) (C) (KTg/2π2) (D) (KT2g/2π2)

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/70f44b39ccf80ec54761958ed98e938d-.png" /> Time period of oscillation of the block T =2 π √(m/k) ⇒ (T2/4 π2)=(m/k) or m =(T2 k/4 π2) Weight of the mass, w=m g=(k T2 g/4 π2)

Q. A mass is suspended from a spring having spring constant ‘ $K$ ’ is displaced vertically and released, it oscillates with period ‘ $T$ ’. The weight of the mass suspended is ( $g =$ gravitational acceleration)

$\frac{K T g}{4 π ^{2}}$

$\frac{K T ^{2} g}{4 π ^{2}}$

$\frac{K T g}{2 π ^{2}}$

$\frac{K T ^{2} g}{2 π ^{2}}$

Time period of oscillation of the block
$T = 2 π \frac{m}{k} \Rightarrow \frac{T ^{2}}{4 π ^{2}} = \frac{m}{k}$
or $m = \frac{T ^{2} k}{4 π ^{2}}$
Weight of the mass, $w = m g = \frac{k T ^{2} g}{4 π ^{2}}$

Q. A mass is suspended from a spring having spring constant ‘K’ is displaced vertically and released, it oscillates with period ‘T’. The weight of the mass suspended is (g= gravitational acceleration)

4π2KTg​

4π2KT2g​

2π2KTg​

2π2KT2g​