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Equilibruium by IQvectors: 11:13pm On Jul 10, 2021 |
Pleasecan someone help with this question in physics? A uniform meter rule of mass 90g is pivoted at 40cm mark. If the rule is in equilibrium with an unknown mass M placed at the 10cm mark and 72g mass at the 70cm mark, determine M? Pls if possible try solving it on screen(i am using a small phone and it does not zoom if pictures were posted)thanks. |
Re: Equilibruium by captainbangz: 5:50am On Jul 11, 2021 |
The metre rule has only vertical masses acting on it. mass M is 0.1m from zero of the metre rule but 0.3m away from the pivot (P). the pivot (P) is 0.4m away from zero. the metre rule's mass(90g) will act at the centre (0.5m from zero). a 72g mass is 0.7m from zero. Sum of moment about the pivot (P). with clockwise as positive=zero(condition for equilibrium); [-M*0.3(M is 0.3m away from P)]+[90*0.1m(90g is 0.1m away from P)]+[72*0.3(72g is 0.3m away from P)]=0 Hence, M = 102g 2 Likes
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Re: Equilibruium by IQvectors: 11:08pm On Jul 11, 2021 |
captainbangz: Very lucid sir am very grateful. Pls help give same clear explanation on this....... A uniform meter rule AB is balanced on a knife edge which is 55cm from B. If a mass of 10g is hung at P which is 10cm from A. Calculate the mass of the meter rule. Also in the first question you solved why did you convert lengh to SIunits and did not do the same for mass? Pls don't be bothered thank you. |
Re: Equilibruium by Mrshape: 11:17pm On Jul 11, 2021 |
IQvectors:(45-10)x10=(55-50)xmass 35×10=5mass Mass of meter rule=70g 2 Likes |
Re: Equilibruium by captainbangz: 7:47am On Jul 12, 2021 |
IQvectors:The Knife Edge(KE) is 55cm from point B, i.e 45cm from point A. The mass of the meter rule M will be acting mostly in its(the metre rule's) centre(50cm away from whichever point), but 5cm away from KE. The mass(10g) is 10cm away from A, i.e 35cm to KE. Total sum of moment about KE=0(condition for equilibrium)[taking clockwise moment as positive]. = -10g*35cm+M*5=0 Hence, M=70g. as Mrshape has above.
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Re: Equilibruium by IQvectors: 9:48am On Jul 12, 2021 |
Mrshape:thank you very much sir |
Re: Equilibruium by IQvectors: 9:48am On Jul 12, 2021 |
captainbangz: Thank you very much sir for this. 1 Like |
Re: Equilibruium by IQvectors: 1:05am On Jul 14, 2021 |
captainbangz: sir please could yo help with this? The lenght of a displaced pendulum bob which passes it lowest point twice every second is? |
Re: Equilibruium by Hahjascho(m): 12:10pm On Jul 14, 2021 |
IQvectors:Just post all your questions at once. |
Re: Equilibruium by IQvectors: 1:42pm On Jul 14, 2021 |
Hahjascho: i was actually reading the topic yesternight and i got stock there. |
Re: Equilibruium by captainbangz: 8:37am On Jul 16, 2021 |
IQvectors:Sorry to say, but I can't Sir. |
Re: Equilibruium by Mrshape: 9:19pm On Jul 16, 2021 |
IQvectors:Period equal 2sec because from the lowest point to the highest point is quarter circle. T=2π√(L/g) |
Re: Equilibruium by Mrshape: 1:37pm On Jul 17, 2021 |
IQvectors:In a pendulum experiment the movement of the Bob from the lowest point to one end of the highest point back to the lowest point is half circle, so from the question it shows that half circle is done in 1 sec but period is the time taken to complete a full circle, So the time to complete a full circle is 2secs. Using your formula for period of a simple pendulum T=2π√(L/g) 2=2π√(L/g) (1/π)²=L/g) L=(g/π²) meters. This is the correct solution I know many textbooks and pass questions failed to solution to this question. Again this is the correct solution |
Re: Equilibruium by IQvectors: 10:12pm On Jul 17, 2021 |
Mrshape: thankyou very much sir my pastquestion did'nt give me this answer and that was why i was confused and dicided to post it here so some one could put me through . Again many thanks for this sir. |
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