Question

A block is hanged from spring in a cage. Elongation in spring is 'x₁' and 'x₂' when cage moves up and down respectively with same acceleration. The expansion in spring when the cage move horizontally with same acceleration –

• A. $\frac { x _ { 1 } + x _ { 2 } } { 2 }$
• B. $\sqrt { \frac { x _ { 1 } ^ { 2 } - x _ { 2 } ^ { 2 } } { 2 } }$
• C.
• D.

Answer 1

Answer: (C)

Answer 2

x₁ = (g + a)

x₂ = (g – a)

x₃ =

[m = mass of pendulum

k = spring constant]

\ = .2(g² + a²)

=

̃ x₃ =