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.A block (B) is attached to two unstretched springs S_{1} and

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Solving time: 3 mins

.A block (B) is attached to two unstretched springs $S_{1}$ and $S_{2}$ with spring constants $k$ and 4 k, respectively (see figure I). The other ends are attached to identical supports $M_{1}$ and $M_{2}$ not attached to the walls. The springs and supports have negligible mass. There is no friction anywhere. The block B is displaced towards wall 1 by a small distance $x$ (figure II) and released. The block returns and moves a maximum distance $y$ towards wall 2. Displacements $x$ and $y$ are measured with respect to the equilibrium position of the block B. The ratio $\frac{y}{x}$ is

Uploaded: 2023-01-21T16:15:45.000Z
Duration: 6 min

\frac{1}{2}

\frac{1}{4}

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Updated on: Jan 21, 2023

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Olivia Discussed

.A block (B) is attached to two unstretched springs

S_{1}

and

S_{2}

with spring constants

k

and 4 k, respectively (see figure I). The other ends are attached to identical supports

M_{1}

and

M_{2}

not attached to the walls. The springs and supports have negligible mass. There is no friction anywhere. The block B is displaced towards wall 1 by a small distance

x

(figure II) and released. The block returns and moves a maximum distance

y

towards wall 2. Displacements

x

and

y

are measured with respect to the equilibrium position of the block B. The ratio

\frac{y}{x}

6 mins ago

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6 mins ago

Text solutionVerified

As springs and supports

(M_{1}

and

M_{2})

are having negligible mass. Whenever springs pull the massless supports will be in natural length. At maximum compression,

B

will be zero
Solution Image

And by energy conservation

\frac{1}{2} (4 K) y^{2} = \frac{1}{2} K x^{2} \Rightarrow \frac{y}{x} = \frac{1}{2}

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Question Text	.A block (B) is attached to two unstretched springs $S_{1}$ and $S_{2}$ with spring constants $k$ and 4 k, respectively (see figure I). The other ends are attached to identical supports $M_{1}$ and $M_{2}$ not attached to the walls. The springs and supports have negligible mass. There is no friction anywhere. The block B is displaced towards wall 1 by a small distance $x$ (figure II) and released. The block returns and moves a maximum distance $y$ towards wall 2. Displacements $x$ and $y$ are measured with respect to the equilibrium position of the block B. The ratio $\frac{y}{x}$ is
Updated On	Jan 21, 2023
Topic	Oscillations
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 1
Upvotes	201
Avg. Video Duration	6 min

Text solutionVerified

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