Find the maximum compression in the spring, if the lower block is shifted to rightwards with acceleration ' a '. All the surfaces are smooth:

Question

Find the maximum compression in the spring, if the lower block is shifted to rightwards with acceleration ' a '. All the surfaces are smooth: (A) (m a/2 k) (B) (2 m a/k) (C) (m a/k) (D) (4 m a/k)

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/97ad90b38959b9f30e816d96b111a25b-.png" /> m v (d v/d x)=(m a-k x) ∫ limits00 m v d v=∫ limits0x(m a-k x) d x 0= max -(k x2/2) ⇒ x=(2 m a/k)

Q. Find the maximum compression in the spring, if the lower block is shifted to rightwards with acceleration ' $a$ '. All the surfaces are smooth:

$\frac{ma}{2 k}$

$\frac{2 ma}{k}$

$\frac{ma}{k}$

$\frac{4 ma}{k}$

$m v \frac{d v}{d x} = (ma - k x)$
$0 \int 0 m v d v = 0 \int x (ma - k x) d x$
$0 = max - \frac{k x ^{2}}{2} \Rightarrow x = \frac{2 ma}{k}$

Q. Find the maximum compression in the spring, if the lower block is shifted to rightwards with acceleration ' a '. All the surfaces are smooth:

2kma​

k2ma​

kma​

k4ma​