Two small bodies of mass of 2, kg each attached to each other using a thread of length 10, cm ,

English

Gujarati

Hindi

13.Oscillations

hard

Two small bodies of mass of $2\, kg$ each attached to each other using a thread of length $10\, cm$, hang on a spring whose force constant is $200\, N/m$, as shown in the figure. We burn the thread. What is the distance between the two bodies when the top body first arrives at its highest position .... $cm$ ? (Take $\pi^2 = 10$)

A

$60$

B

$70$

C

$80$

D

None of these

Solution

Time to move at upper extreme

$=\frac{T}{2}=\frac{\pi}{\omega}=\pi \sqrt{\frac{m}{k}}=\frac{\pi}{10} \mathrm{sec}$

Distance moved by lower block

$=\frac{1}{2} g t^{2}=\frac{1}{2} \times 10 \times \frac{\pi^{2}}{100}=50 \mathrm{cm}$

Seperation between the blocks $(20+10+50) \mathrm{cm}$ $=80 \mathrm{cm}$

Standard 11

Physics

Share

Similar Questions

A spring having with a spring constant $1200\; N m ^{-1}$ is mounted on a hortzontal table as shown in Figure A mass of $3 \;kg$ is attached to the free end of the spring. The mass is then pulled sideways to a distance of $2.0 \;cm$ and released. Determine

$(i)$ the frequency of oscillations,

$(ii)$ maximum acceleration of the mass, and

$(iii)$ the maximum speed of the mass.

medium

The springs in figure. $A$ and $B$ are identical but length in $A$ is three times that in $B$. The ratio of period $T_A/T_B$ is

medium

In the figure, ${S_1}$ and ${S_2}$ are identical springs. The oscillation frequency of the mass $m$ is $f$. If one spring is removed, the frequency will become

medium

A man weighing $60\, kg$ stands on the horizontal platform of a spring balance. The platform starts executing simple harmonic motion of amplitude $0.1\, m$ and frequency $\frac{2}{\pi }Hz$. Which of the following statement is correct

medium

Two particles of mass $m$ are constrained to move along two horizontal frictionless rails that make an angle $2\theta $ with respect to each other. They are connected by a spring with spring constant $k$ . The angular frequency of small oscillations for the motion where the two masses always stay parallel to each other (that is the distance between the meeting point of the rails and each particle is equal) is

hard