(C) From the graph,at $t = 11\, s$,the lift is in the retardation phase (between $t = 10\, s$ and $t = 12\, s$).The acceleration $a$ is the slope of t

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(C) From the graph,at $t = 11\, s$,the lift is in the retardation phase (between $t = 10\, s$ and $t = 12\, s$).The acceleration $a$ is the slope of the velocity-time graph:$a = \frac{v_f - v_i}{t_f - t_i} = \frac{0 - 3.6}{12 - 10} = \frac{-3.6}{2} = -1.8\, m/s^2$.The equation of motion for the lift moving upward is $T - mg = ma$,where $T$ is the tension.$T = m(g + a)$.Using $g = 9.8\, m/s^2$:$T = 1500 \times (9.8 + (-1.8)) = 1500 \times 8.0 = 12000\, N$.

Class 11 Physics Newton's Laws of Motion and Friction Tension Force and Pulley Block System

Medium

$A$ lift is going up. The total mass of the lift and the passenger is $1500\, kg$. The variation in the speed of the lift is as given in the graph. The tension in the rope pulling the lift at $t = 11\, s$ will be ............ $N$.

A
$17400$
B
$14700$
C
$12000$
D
$0$

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Newton's Laws of Motion and Friction

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Tension Force and Pulley Block System

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$A$ lift is going up. The total mass of the lift and the passenger is $1500\, kg$. The variation in the speed of the lift is as given in the graph. The tension in the rope pulling the lift at $t = 11\, s$ will be ............ $N$.

Similar Questions

In the adjoining figure,the tension in the string connecting blocks $A$ and $B$ is:

Two weights of mass $m_{1}$ and $m_{2} (> m_{1})$ are joined by an inextensible string of negligible mass passing over a fixed frictionless pulley. The magnitude of the acceleration of the loads is

Two masses $m_1 = 10 \ kg$ and $m_2 = 6 \ kg$ are attached to a string which passes over a frictionless smooth pulley. The acceleration of the masses is .......... $m/s^2$. (Take $g = 10 \ m/s^2$)

$A$ light spring balance hangs from the hook of another light spring balance,and a block of mass $M \, kg$ hangs from the lower one. Which of the following statements is true regarding the scale readings?

$A$ light string passes over a frictionless pulley. To one of its ends a mass of $6\, kg$ is attached. To its other end a mass of $10\, kg$ is attached. The tension in the thread will be ........ $N$.

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