Conceptual - Mass, Period, Spring Constant

AI Thread Summary
Quadrupling the mass does not double the period, as mass does not directly affect the period in simple harmonic motion. Tripling the amplitude does not sextuple the frequency, and doubling the amplitude also does not change the frequency. Halving the amplitude will not quadruple the frequency; instead, the frequency remains constant regardless of amplitude changes. Doubling the spring constant will halve the period, as the relationship between spring constant and period is inversely proportional. The discussion emphasizes the importance of understanding the relationships between mass, amplitude, spring constant, and their effects on period and frequency in oscillatory motion.
sheri1987
Messages
47
Reaction score
0

Homework Statement



True or False

Quadrupling the mass will double the period.
Tripling the amplitude will sextuple the frequency.
Doubling the amplitude will not change the frequency.
Halving the amplitude will quadruple the frequency.
Doubling the spring constant will halve the period

Homework Equations



w=(2pi)frequency
*mass has no role in the period

The Attempt at a Solution


I put
False
False
False
True
False

What am I doing wrong?
 
Physics news on Phys.org
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...

Similar threads

Back
Top