Tag: oscillations due to a spring
Questions Related to oscillations due to a spring
A light spring of length 20 cm and force constant 2 N/cm is placed vertically on a table. A small block of mass 1 kg falls on it. The length h from the surface of the table at which the block will have the maximum velocity is
Two dissimilar spring fixed at one end are stretched by 10cm and 20cm respectively, when masses ${ m } _{ 1 }$ and ${ m } _{ 2 }$ are suspended at their lower ends. When displaced slightly from their mean positions and released, they will oscillate with period in the ratio
A bob of mass $\mathrm { M }$ is hung using a string of length $\mathrm { l }.$ A mass $m$ moving with a velocity $u$ pierces through the bob and emerges out with velocity $\dfrac { u } { 3 } ,$ The frequency of oscillation of the bob considering as amplitude $A$ is
A body of mass 0.98 Kg is suspended from a spring of spring constant K = 2N/m. Then the period is.
Two particles $A$ and $B$ of equal masses are suspended from two massless springs of spring constants $k _ { 1 }$ and $k _ { 2 }$ respectively. If the maximum velocities during oscillations are equal, the ratio of the amplitudes of $A$ and $B$ is
A body of mass $4\, kg$ hangs from a spring and oscillates with a period $0.5$ second. On the removed of the body, the spring is shortened by
A mass m is suspended from the two coupled springs connected in series. The force constant for springs are $ K _1 and K _2 $. The time period of the suspended mass will be-
A block of mass m is suspended separately by two different spring have time period $ t _1 and t _2 $ . if same mass is connected to parallel combination of both springs , then its time period is given by
Two massless springs of force constants ${ k } _{ 1 }$ and ${ k } _{ 2 }$ are joined end to end. The resultant force constant $k$ of the system is
One end of a long metallic wire of length $L$ area of cross-section $A$ and Young's modulus $Y$ is tied to the ceiling. The other end is tied to a massless spring of force constant $k$. A mass $m$ hangs freely from the free end of the spring. It is slightly pulled down and released. Its time period is given by-