Question

Here's A Question!!
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Solve the question in the given attachment.
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No Spams!!​

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Acceleration\:of\:block=(g+a)sin\:\theta}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Given: }} \\ \tt: {\implies Mass \: of \: block = m} \\ \\ \tt: \implies Acceleration \: of \: elevator = a \\ \\ \tt: \implies Inclined \: angle = \theta \\ \\ \red{\underline \bold{To \: Find: }} \\ \tt: {\implies Acceleration \: of \: block = ?}$

• According to given question :

$\bold{Forces \: required } \\ \tt \circ \: N \: noramal \: force \: to \: the \: plane \\ \\ \tt \circ \: mg \: acting \: vertically \: down \\ \\ \tt \circ \: m a = pseudo \: force \\ \\ \text{If\: a}_{o} \: \text{is \: the \: acceleration \: of \: the } \\ \text{body \: with \: respect \: to \: incline.} \\ \\ \tt \circ \: Taking \: components \: of \: forces \: parallel \: to \: the \: incline \\ \\ \tt: \implies mg \: sin \: \theta + ma \: sin \: \: \theta = ma_{o} \\ \\ \tt: \implies m \:sin \theta(g + a) = ma_{o} \\ \\ \tt: \implies (g + a)sin \: \theta = a_{o} \\ \\ \green{\tt: \implies a_{o} = (g + a)sin \: \theta}$

Answer 2

$</p><p>\huge{\tt{\pink{Hello!!! }}}$

$\tt{ \red{This \: question \: can \: be \: solved \: using \: Pseudo \: Force \: }}$

$\tt{ \blue{Sum \: of \: x \: components \: = 0 }}$

$\tt{ \purple{Sum \: of \: y \: components \: = > \: mg \sin( \phi) + ma \sin( \phi \: )}} \\ \\ = > \tt{ \orange{ \: (a + g) \sin( \phi) }}$

$\tt{\orange{A_{z} \: = > \: (a + g) \sin( \phi) }}$