Question

A cuboidal car of height 3 m is slipping on a smooth inclined plane. A bolt relesed from the foo d
from centre of roof (P) then distance from centre of roof where bolt hits the floor with respect to cars
smooth
(A) 5 m
(B) 4 m
(C) 3m
(D) None of these



step wise​

Answer 1

Answer:

Distance of the bolt from the roof is 3 m

Explanation:

As we know that bolt is released from the top of the car

So here we can say that acceleration of bolt with respect to car is given as

$a_{bc} = a_b - a_c$

as we know that car is slipping on the inclined plane of angle "theta"

so we will have

$a_c = g sin\theta \hat i$

now we know that bolt is falling freely downwards

So the two components of its acceleration is given as

$a_b = g sin\theta \hat i + g cos\theta \hat j$

now we have

$a_{bc} = g cos\theta \hat j$

so the bolt will fall downwards along its height so the distance from the roof is same as that of height

$d = H = 3 m$

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Topic : NLM

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