$A$ block of mass $25 \; kg$ is raised by a $50 \; kg$ man in two different ways as shown in the figure. What is the action on the floor by the man in the two cases? If the floor yields to a normal force of $700 \; N$,which mode should the man adopt to lift the block without the floor yielding?

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(B) Mass of the block,$m = 25 \; kg$
Mass of the man,$M = 50 \; kg$
Acceleration due to gravity,$g = 10 \; m/s^2$
Force required to lift the block,$F = mg = 25 \times 10 = 250 \; N$
Weight of the man,$W = Mg = 50 \times 10 = 500 \; N$
Case $(a)$: When the man lifts the block directly,he pulls the rope upwards. By Newton's third law,the rope pulls the man downwards with a force $F = 250 \; N$. The total downward force on the floor is the sum of the man's weight and the reaction force from the rope.
Action on the floor $= W + F = 500 + 250 = 750 \; N$.
Case $(b)$: When the man lifts the block using a pulley,he pulls the rope downwards. By Newton's third law,the rope pulls the man upwards with a force $F = 250 \; N$. The net downward force on the floor is the man's weight minus the upward reaction force from the rope.
Action on the floor $= W - F = 500 - 250 = 250 \; N$.
Conclusion: Since the floor yields at $700 \; N$,the man should adopt method $(b)$ to lift the block,as the force exerted on the floor $(250 \; N)$ is less than the limit of $700 \; N$.

Explore More

Similar Questions

Two masses $M_1$ and $M_2$ are accelerated uniformly on a frictionless surface as shown in the figure. The ratio of the tensions $T_1/T_2$ is:

$250 \; N$ force is required to raise a $75 \; kg$ mass using a pulley system. If the rope is pulled by $12 \; m$ and the load is lifted by $3 \; m$,the efficiency of the pulley system will be ......$\%$

Two identical masses $m$ are connected to a massless string which is hung over two frictionless pulleys as shown in the figure. If everything is at rest,what is the tension in the cord?

$A$ body of mass $m$ is allowed to fall with the help of a string with downward acceleration $\frac{g}{6}$ to a distance $x$. The work done by the string is .............

$A$ weight $W$ can be hung in any of the following four ways by a string of the same type. In which case is the string most likely to break?

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo