equation of motion of man 2T+R-60g=60x2 ........(a)
equation of motion cage 2T-R-40g=40x2 ..........(b)
add a to b to eliminate R 4T-100g=200
ie 4T=1200
T=300N(tension force)
substitute T equation (b) 600-R-400=200
200-R=200
Reaction force suprisingly enough equals 0 ????? Is it 😳
Computational error equation (b), should read 600-R-400=40X2=80 not 200.You are right in the case of T=300N, but wrong in the reaction R, which is 120N. Good try mkuu.
👍 Excellente!The sensible depth "d" of the well is 28.64 metres . Taking c=343m/s.
The sensible depth "d" of the well is 28.64 metres . Taking c=343m/s.
| t | f(t) |
| 2.4000 | -0.01936 |
| 2.4010 | -0.01829279 |
| 2.4020 | -0.01722554 |
| 2.4030 | -0.01615827 |
| 2.4040 | -0.01509098 |
| 2.4050 | -0.01402365 |
| 2.4060 | -0.0129563 |
| 2.4070 | -0.01188891 |
| 2.4080 | -0.0108215 |
| 2.4090 | -0.00975407 |
| 2.4100 | -0.0086866 |
| 2.4110 | -0.00761911 |
| 2.4120 | -0.00655158 |
| 2.4130 | -0.00548403 |
| 2.4140 | -0.00441646 |
| 2.4150 | -0.00334885 |
| 2.4160 | -0.00228122 |
| 2.4170 | -0.00121355 |
| 2.4180 | -0.00014586 |
| 2.4190 | 0.00092185 |
| 2.4200 | 0.0019896 |
| 2.4210 | 0.00305737 |
| 2.4220 | 0.00412518 |
| 2.4230 | 0.00519301 |
| 2.4240 | 0.00626086 |
| 2.4250 | 0.00732875 |
Whom???A man gonna passed away..[emoji41]
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.
(a) 2d=4.9xt1^2+340Xt2.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.
A neat ,exact and quick solution to quadratic equation is provided by quadratic formula: given ax²+bx+c=0 then x=(-b±√(b²-4ac))/(2a). Another possibility is use of numerical method(an overkill for simple quadratic).GRAPHICAL METHOD USING EXCEL
t=2.5 sec
d=g/2*t1^2
d=ct2
t2=g/2c*t1^2
t=t1+t2
2.5=t1+0.0142t1^2
f(t)= 0.0143t1^2+t1-2.5=0 (quadratic equation)
t f(t) 2.4000 -0.01936 2.4010 -0.01829279 2.4020 -0.01722554 2.4030 -0.01615827 2.4040 -0.01509098 2.4050 -0.01402365 2.4060 -0.0129563 2.4070 -0.01188891 2.4080 -0.0108215 2.4090 -0.00975407 2.4100 -0.0086866 2.4110 -0.00761911 2.4120 -0.00655158 2.4130 -0.00548403 2.4140 -0.00441646 2.4150 -0.00334885 2.4160 -0.00228122 2.4170 -0.00121355 2.4180 -0.00014586 2.4190 0.00092185 2.4200 0.0019896 2.4210 0.00305737 2.4220 0.00412518 2.4230 0.00519301 2.4240 0.00626086 2.4250 0.00732875
View attachment 1758815
Now it is evident the curve crosses the t-axis t = 2.41 and 2.42 approximately ≈ 2.416
d=g/2*t1^2
Having the value real value of t, d = 9.81x (2.416)^2/2
d≈ 28.63m
Haya ndio mambo yalinifanya nijibidiishe kukariri definitions tu😅Hello the Physics lovers, here is another simple puzzle to remind yourself of your mechanics prowess.😇
A ring shaped elastic rubber having Mass "M" is released to slide frictionlessly outside a round conical shape cylinder to a point where it stop outside the cylinder as shown in the diagram.
Qn, Find tension force "T" in the rubber at the stoppage point, given the conical apex angle theta.
View attachment 1769336