mg−T=ma (object to the right of the pulley)
Tension is positive, mg is negative as follows
T−mg=ma
4T(pulleys)-2mg(downward force)=2ma(upward force)
Also T=mg/2(force equal half of its weight)
Wenye kujua maths, wata substitute T kwenye formula 4T-2mg=2ma
a=?
Inaonekana a man of mass (m) hana ubavu huo.......
a=0Ubavu wa kufanya nini???
The question is what will be his upward acceleration ??
Above all you have tried a great deal, a big up ✔✔✔.
mg−T=ma (object to the right of the pulley)
Tension is positive, mg is negative as follows
T−mg=ma
4T(pulleys)-2mg(downward force)=2ma(upward force)
Also T=mg/2(force equal half of its weight)
Wenye kujua maths, wata substitute T kwenye formula 4T-2mg=2ma
a=?
Inaonekana a man of mass (m) hana ubavu huo.......
What if we consider only boundary forces- 4 T upwards where t is tension force in rope and 2mg downward gravitational force.
By Newtons second law of motion F=ma: 4T-2mg=2ma . 2,unknowns(T &a) ,one equation CHECKMATE
We are told man pulls each rope with a force equal half his weight therefore upward force balances mans weight thus acc, is zero . The upward tension force on platform equals it weight hence its acc. is zero. System is in equilibrum.
Overlooked a crucial piece of information - we know 2T=mg,hence T=mg/2. Substitute T in first equation 4(mg/2)-2mg=maWhat if we consider only boundary forces- 4 T upwards where t is tension force in rope and 2mg downward gravitational force.
By Newtons second law of motion F=ma: 4T-2mg=2ma . 2,unknowns(T &a) ,one equation CHECKMATE
equation of motion of man 2T+R-60g=60x2 ........(a)that's ok.✔✔
You may try If you mind tackling qns #13
Tuendelee na Physics........
Ifuatayo ni kati ya maswali ya interview kujiunga na TISS...........😁
A detective is interested in finding the depth of a well where he believes a criminal has
hidden a gun. The detective drops a stone into the well, and measures the time before a
splash is heard. The total time t consists of the time it takes for the stone to hit the water
t1 and the time it takes for the sound to travel from the surface of the water to the
detectives’ ear t2. If g is acceleration due to gravity, d the depth of the well and c the
speed of sound in air then we can write:
View attachment 1755100
By rearranging the formulae, find a sensible solution for the depth of the well given that
the detective counts 2.5 seconds before hearing the splash.
Take g as 9.81 m/ s2 and c as the speed of sound in air at atmospheric pressure and 20°C.