(A) Given: Mass $m = 1 \ kg$,acceleration $a = 4.9 \ ms^{-2}$,acceleration due to gravity $g \approx 9.8 \ ms^{-2}$.$(i)$ When the body is lifted up w

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(A) Given: Mass $m = 1 \ kg$,acceleration $a = 4.9 \ ms^{-2}$,acceleration due to gravity $g \approx 9.8 \ ms^{-2}$.$(i)$ When the body is lifted up with acceleration $a$,the equation of motion is:$T_1 - mg = ma$$T_1 = m(g + a) = 1 \times (9.8 + 4.9) = 14.7 \ N$(ii) When the body is lowered with acceleration $a$,the equation of motion is:$mg - T_2 = ma$$T_2 = m(g - a) = 1 \times (9.8 - 4.9) = 4.9 \ N$The ratio of tension in the first and second case is:$\frac{T_1}{T_2} = \frac{14.7}{4.9} = \frac{3}{1} = 3:1$

Class 11 Physics Newton's Laws of Motion and Friction Motion of Body (or Connected Bodies in horizontal or vertical) (by String or Contact)

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$A$ mass of $1 \ kg$ is suspended by means of a thread. The system is
$(i)$ lifted up with an acceleration of $4.9 \ ms^{-2}$
(ii) lowered with an acceleration of $4.9 \ ms^{-2}$.
The ratio of tension in the first and second case is

WBJEE 2016 All WBJEE

A
$3$: $1$
B
$1$: $2$
C
$1$: $3$
D
$2$: $1$

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Class 11

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Newton's Laws of Motion and Friction

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Motion of Body (or Connected Bodies in horizontal or vertical) (by String or Contact)

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$A$ mass of $1 \ kg$ is suspended by means of a thread. The system is$(i)$ lifted up with an acceleration of $4.9 \ ms^{-2}$(ii) lowered with an acceleration of $4.9 \ ms^{-2}$.The ratio of tension in the first and second case is

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Three blocks of masses $4\, kg, 8\, kg$ and $24\, kg$ are connected to each other with light strings and placed on a smooth horizontal floor as shown in the figure. If the system moves with an acceleration of $2\, m/s^2$,the applied force $F$ is ............ $N$.

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$A$ mass of $1 \ kg$ is suspended by means of a thread. The system is
$(i)$ lifted up with an acceleration of $4.9 \ ms^{-2}$
(ii) lowered with an acceleration of $4.9 \ ms^{-2}$.
The ratio of tension in the first and second case is