Some Systems Executing Simple Harmonic Motion
PHXI14:OSCILLATIONS

364351 A block is resting on a rough horizontal surface, which is executing SHM with amplitude \(A\). The frequency of oscillation of horizontal surface for which the block just starts to slip is

1 Zero
2 \(\infty\)
3 \(\dfrac{1}{2 \pi} \sqrt{\dfrac{K x^{2}}{m}}\)
4 \(\dfrac{1}{2 \pi} \sqrt{\dfrac{\mu g}{A}}\)
PHXI14:OSCILLATIONS

364352 Two uniform ropes having linear mass densities \(m\) and \(4\;m\) are joined to form a closed loop. The loop is hanging over a fixed frictionless small pulley with the lighter rope above as shown in the figure. (in the figure equilibrium position is shown). Now if point A (joint) is slightly displaced in downward direction and released. It is found that the loop performs SHM with the period of oscillation equal to T. Find the value of
\(T\left( {} \right.\) take \(\left. {l = \frac{{150m}}{{4{\pi ^2}}},g = 10\;m/{s^2}} \right)\).
supporting img

1 \(8\;s\)
2 \(2\;s\)
3 \(5\;s\)
4 \(10\;s\)
PHXI14:OSCILLATIONS

364353 A block of rectangular size of mass \(m\) and area of cross - section \(A\), floats in a liquid of density \(\rho\). If we give a small vertical displacement from equilibrium, it undergoes SHM with time period \(T\), then

1 \(T^{2} \propto \dfrac{1}{\rho}\)
2 \(T^{2} \propto \rho\)
3 \(T^{2} \propto m^{-1}\)
4 \(T^{2} \propto \dfrac{1}{A^{-2}}\)
PHXI14:OSCILLATIONS

364354 The height of liquid column in a \(U\) tube is 0.3 meter. If the liquid in one of the limbs is depressed and then released, then the time period of liquid column will be

1 \(0.11\,\sec \)
2 \(19\,\sec \)
3 \(1.1\,\sec \)
4 \(2\,\sec \)
PHXI14:OSCILLATIONS

364351 A block is resting on a rough horizontal surface, which is executing SHM with amplitude \(A\). The frequency of oscillation of horizontal surface for which the block just starts to slip is

1 Zero
2 \(\infty\)
3 \(\dfrac{1}{2 \pi} \sqrt{\dfrac{K x^{2}}{m}}\)
4 \(\dfrac{1}{2 \pi} \sqrt{\dfrac{\mu g}{A}}\)
PHXI14:OSCILLATIONS

364352 Two uniform ropes having linear mass densities \(m\) and \(4\;m\) are joined to form a closed loop. The loop is hanging over a fixed frictionless small pulley with the lighter rope above as shown in the figure. (in the figure equilibrium position is shown). Now if point A (joint) is slightly displaced in downward direction and released. It is found that the loop performs SHM with the period of oscillation equal to T. Find the value of
\(T\left( {} \right.\) take \(\left. {l = \frac{{150m}}{{4{\pi ^2}}},g = 10\;m/{s^2}} \right)\).
supporting img

1 \(8\;s\)
2 \(2\;s\)
3 \(5\;s\)
4 \(10\;s\)
PHXI14:OSCILLATIONS

364353 A block of rectangular size of mass \(m\) and area of cross - section \(A\), floats in a liquid of density \(\rho\). If we give a small vertical displacement from equilibrium, it undergoes SHM with time period \(T\), then

1 \(T^{2} \propto \dfrac{1}{\rho}\)
2 \(T^{2} \propto \rho\)
3 \(T^{2} \propto m^{-1}\)
4 \(T^{2} \propto \dfrac{1}{A^{-2}}\)
PHXI14:OSCILLATIONS

364354 The height of liquid column in a \(U\) tube is 0.3 meter. If the liquid in one of the limbs is depressed and then released, then the time period of liquid column will be

1 \(0.11\,\sec \)
2 \(19\,\sec \)
3 \(1.1\,\sec \)
4 \(2\,\sec \)
PHXI14:OSCILLATIONS

364351 A block is resting on a rough horizontal surface, which is executing SHM with amplitude \(A\). The frequency of oscillation of horizontal surface for which the block just starts to slip is

1 Zero
2 \(\infty\)
3 \(\dfrac{1}{2 \pi} \sqrt{\dfrac{K x^{2}}{m}}\)
4 \(\dfrac{1}{2 \pi} \sqrt{\dfrac{\mu g}{A}}\)
PHXI14:OSCILLATIONS

364352 Two uniform ropes having linear mass densities \(m\) and \(4\;m\) are joined to form a closed loop. The loop is hanging over a fixed frictionless small pulley with the lighter rope above as shown in the figure. (in the figure equilibrium position is shown). Now if point A (joint) is slightly displaced in downward direction and released. It is found that the loop performs SHM with the period of oscillation equal to T. Find the value of
\(T\left( {} \right.\) take \(\left. {l = \frac{{150m}}{{4{\pi ^2}}},g = 10\;m/{s^2}} \right)\).
supporting img

1 \(8\;s\)
2 \(2\;s\)
3 \(5\;s\)
4 \(10\;s\)
PHXI14:OSCILLATIONS

364353 A block of rectangular size of mass \(m\) and area of cross - section \(A\), floats in a liquid of density \(\rho\). If we give a small vertical displacement from equilibrium, it undergoes SHM with time period \(T\), then

1 \(T^{2} \propto \dfrac{1}{\rho}\)
2 \(T^{2} \propto \rho\)
3 \(T^{2} \propto m^{-1}\)
4 \(T^{2} \propto \dfrac{1}{A^{-2}}\)
PHXI14:OSCILLATIONS

364354 The height of liquid column in a \(U\) tube is 0.3 meter. If the liquid in one of the limbs is depressed and then released, then the time period of liquid column will be

1 \(0.11\,\sec \)
2 \(19\,\sec \)
3 \(1.1\,\sec \)
4 \(2\,\sec \)
PHXI14:OSCILLATIONS

364351 A block is resting on a rough horizontal surface, which is executing SHM with amplitude \(A\). The frequency of oscillation of horizontal surface for which the block just starts to slip is

1 Zero
2 \(\infty\)
3 \(\dfrac{1}{2 \pi} \sqrt{\dfrac{K x^{2}}{m}}\)
4 \(\dfrac{1}{2 \pi} \sqrt{\dfrac{\mu g}{A}}\)
PHXI14:OSCILLATIONS

364352 Two uniform ropes having linear mass densities \(m\) and \(4\;m\) are joined to form a closed loop. The loop is hanging over a fixed frictionless small pulley with the lighter rope above as shown in the figure. (in the figure equilibrium position is shown). Now if point A (joint) is slightly displaced in downward direction and released. It is found that the loop performs SHM with the period of oscillation equal to T. Find the value of
\(T\left( {} \right.\) take \(\left. {l = \frac{{150m}}{{4{\pi ^2}}},g = 10\;m/{s^2}} \right)\).
supporting img

1 \(8\;s\)
2 \(2\;s\)
3 \(5\;s\)
4 \(10\;s\)
PHXI14:OSCILLATIONS

364353 A block of rectangular size of mass \(m\) and area of cross - section \(A\), floats in a liquid of density \(\rho\). If we give a small vertical displacement from equilibrium, it undergoes SHM with time period \(T\), then

1 \(T^{2} \propto \dfrac{1}{\rho}\)
2 \(T^{2} \propto \rho\)
3 \(T^{2} \propto m^{-1}\)
4 \(T^{2} \propto \dfrac{1}{A^{-2}}\)
PHXI14:OSCILLATIONS

364354 The height of liquid column in a \(U\) tube is 0.3 meter. If the liquid in one of the limbs is depressed and then released, then the time period of liquid column will be

1 \(0.11\,\sec \)
2 \(19\,\sec \)
3 \(1.1\,\sec \)
4 \(2\,\sec \)
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