(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

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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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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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$A$ rope of length $10 \, m$ and linear density $0.5 \, kg/m$ is lying lengthwise on a smooth horizontal floor. It is pulled by a force of $25 \, N$. The tension in the rope at a point $8 \, m$ away from the point of application is ....... $N$

An $80\, kg$ person is parachuting and is experiencing a downward acceleration of $2.8\, m/s^2$. The mass of the parachute is $5\, kg$. The upward force on the open parachute is ........... $N$ (Take $g = 9.8\, m/s^2$)

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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