A block of mass m is suspended separately by | vedclass

Name: PDF Generator App | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

$\mathrm{t}=2 \pi \sqrt{\frac{\mathrm{m}}{\mathrm{k}}} \quad \Rightarrow \mathrm{k}=\frac{4 \pi^{2} \mathrm{m}}{\mathrm{t}^{2}}$

$	herefore \mathr

Vedclass · Accepted Answer

$\frac{{{t_1}{t_2}}}{{\sqrt {{t_1}^2 + {t_2}^2} }}$

Vedclass · Answer

$\mathrm{t}=2 \pi \sqrt{\frac{\mathrm{m}}{\mathrm{k}}} \quad \Rightarrow \mathrm{k}=\frac{4 \pi^{2} \mathrm{m}}{\mathrm{t}^{2}}$

$	herefore \mathrm{k}_{1}=\frac{4 \pi^{2} \mathrm{m}}{\mathrm{t}_{1}^{2}}$ and $\mathrm{k}_{2}=\frac{4 \pi^{2} \mathrm{m}}{\mathrm{t}_{2}^{2}}$

$\mathrm{t}=2 \pi \sqrt{\frac{\mathrm{m}}{\mathrm{k}_{1}+\mathrm{k}_{2}}}=2 \pi \sqrt{\frac{\mathrm{m}}{\frac{4 \pi^{2} \mathrm{m}}{\mathrm{t}_{1}^{2}}+\frac{4 \pi^{2} \mathrm{m}}{\mathrm{t}_{2}^{2}}}}$

$\Rightarrow t=\frac{t_{1} t_{2}}{\sqrt{t_{1}^{2}+t_{2}^{2}}}$

A block of mass $m$ is suspended separately by two different springs have time period $t_1$ and $t_2$ . If same mass is connected to parallel combination of both springs, then its time period will be

Similar Questions

Two bodies $M$ and $N $ of equal masses are suspended from two separate massless springs of force constants $k_1$ and $k_2$ respectively. If the two bodies oscillate vertically such that their maximum velocities are equal, the ratio of the amplitude $M$ to that of $N$ is

The scale of a spring balance reading from $0$ to $10 \,kg$ is $0.25\, m$ long. A body suspended from the balance oscillates vertically with a period of $\pi /10$ second. The mass suspended is ..... $kg$ (neglect the mass of the spring)

The period of oscillation of a mass $M$ suspended from a spring of negligible mass is $T$. If along with it another mass $M$ is also suspended , the period of oscillation will now be

The effective spring constant of two spring system as shown in figure will be

A $1 \,kg$ block attached to a spring vibrates with a frequency of $1\, Hz$ on a frictionless horizontal table. Two springs identical to the original spring are attached in parallel to an $8\, kg$ block placed on the same table. So, the frequency of vibration of the $8\, kg$ block is ..... $Hz$