Home
Class 11
PHYSICS
A spring of force constant 1200 Nm^(-1) ...

A spring of force constant `1200 Nm^(-1)` is mounted on a horizontal table as shown in Fig. A mass of 3.0 kg is attached to the free end of spring, pulled sideways to a distance of 2.0 cm and released.
(a) What is the frequency of oscillation of mass ?
(b) What is its maximum acceleration ?
(c) What is its maximum speed ?

Text Solution

Verified by Experts

`k = 1200 Nm^(-1), m = 3.0 kg`
` a = 2 xx10^(-2)m`
(a) Frequency of oscillation `v=1/(2pi)sqrt(k/m)=1/(2xx3.14) sqrt((1200)/3)`
`v = 3.18 ` Hertz
(b) Maximum acceleration `alpha_(max)=omega^2a=ak/m=2xx10^(-2)xx1200/(3.0) = 8 ms^(-2)`
(c) Maximum velocity `alpha_(max)=aomega=2xx10^(-3)xxsqrt((1200)/3)=0.4 ms^(-1)`
Promotional Banner

Topper's Solved these Questions

  • OSCILLATIONS

    ICSE|Exercise SHORT ANSWER QUESTIONS WITH ANSWER|20 Videos

  • OSCILLATIONS

    ICSE|Exercise LONG ANSWER QUESTIONS |3 Videos

  • OSCILLATIONS

    ICSE|Exercise SELECTED PROBLEMS (OSCILLATION IN A TUNNEL BORED THROUGH THE EARTH)|2 Videos

  • MOTION IN FLUIDS

    ICSE|Exercise SELECTED PROBLEMS (FROM POISEUILLE.S FORMULA) |19 Videos

  • PROPERTIES OF MATTER

    ICSE|Exercise MODULE 4 ( TEMPERATURE ) UNSOLVED PROBLEMS|12 Videos

Similar Questions

Explore conceptually related problems

A spring of force constant 1200Nm^(-1) is mounted on a horizontal table as shown in figure. A mass of 3.0kg is attached to the free end of the spring, pulled side ways to a distance of 2.0cm and released. Determing. (a) the frequency of oscillation of the mass. (b) the maximum acceleration of the mass. (c) the maximum speed of the mass.

A spring of force constant 1200Nm^(-1) is mounted on a horizontal table as shown in figure. A mass of 3.0kg is attached to the free end of the spring, pulled side ways to a distance of 2.0cm and released. Determing. (a) the frequency of oscillation of the mass. (b) the maximum acceleration of the mass. (c) the maximum speed of the mass.

A spring of force constant 600 Nm^(-1) is mounted on a horizontal table. A mass of 1.5 kg is attached to the free end of the spring,pulled sideways to a distance of 2 cm and released . The speed of the mass when the spring is compressed by 1 cm is

A spring of force constant 600 Nm^(-1) is mounted on a horizontal table. A mass of 1.5 kg is attached to the free end of the spring, pulled sideways to a distance of 2 cm and released .P.E. of the mass when it momentarily comes to rest and total energy are

A spring of force constant 1200 Nm^(-1) is mounted on a horizontal table and a mass of 3.0 kg of attached to the free and of the spring. The mass is made to rotate with an angular velocity of 10 rad/s. What is the elongation produced in the spring if its unstretched length is 60 cm ?

A weightless spring of length 60 cm and force constant 100 N m^(-1) is kept straight and unstretched on a smooth horizontal table and its ends are rigidly fixed. A mass of 0.25 kg is attached at the middle of the spring and is slightly displaced along the length. The time period of the oscillation of the mass is

Spring of spring constant 1200 Nm^(-1) is mounted on a smooth fricationless surface and attached to a block of mass 3 kg . Block is pulled 2 cm to the right and released. The angular frequency of oscillation is

A 2.5 kg collar attached to a spring of foce constant 1000 Nm^(-1) slides without friction on a horizontal rod. The collar is displaced from its equilibrium position by 5.0 cm and released. Calculate (i) the period of oscillation (ii) the maximum speed of the collar and (iii) the maximum acceleration of the collar.

A 5 kg collar is attached to a spring of spring constant 500 Nm^(-1) . It slides without friction over a horizontal rod. The collar is displaced from its equilibrium position by 10 cm and released. Calculate (a) The period of oscillations (b) The maximum speed and (c) maximum acceleration of the collar.

A 2.5 kg collar is attached to a spring of spring constant 250 Nm^(-1) . It slides without friction over a horizontal surface . It is displaced from its equilibrium position by 20 cm and releasd. Calculate the period of osciallation and the maximum speed.