Home
Class 12
PHYSICS
Spring is mounted as shown in figure. By...

Spring is mounted as shown in figure. By attaching a mass to the free end and pulling side ways, we determine that the force is proportional to the displacement a force of 4N causing a displacement of 0.02 m. We attach a 2kg body to the end, pull it aside through a distance of 0.04m , and then released. Find

the period and frequency of vibration.

Text Solution

Verified by Experts

The time period `T = 2pi sqrt((m)/(k))`
`= 2pi sqrt((2)/(200)) = (pi)/(5)` sec = 0.628 sec
Frequency `f = (1)/(T) = 1.59 s^(-1) = 1.59Hz`
Angular frequency `omega = 2pi f = 10 s^(-1)`
Promotional Banner

Similar Questions

Explore conceptually related problems

Spring is mounted as shown in figure. By attaching a mass to the free end and pulling side ways, we determine that the force is proportional to the displacement a force of 4N causing a displacement of 0.02 m. We attach a 2kg body to the end, pull it aside through a distance of 0.04m , and then released. Find the force constant of the spring

Spring is mounted as shown in figure. By attaching a mass to the free end and pulling side ways, we determine that the force is proportional to the displacement a force of 4N causing a displacement of 0.02 m. We attach a 2kg body to the end, pull it aside through a distance of 0.04m , and then released. Find maximum acceleration of the body.

Spring is mounted as shown in figure. By attaching a mass to the free end and pulling side ways, we determine that the force is proportional to the displacement a force of 4N causing a displacement of 0.02 m. We attach a 2kg body to the end, pull it aside through a distance of 0.04m , and then released. Find the velocity adn acceleration when the body has moved half way in toward the central from is initial position.

Spring is mounted as shown in figure. By attaching a mass to the free end and pulling side ways, we determine that the force is proportional to the displacement a force of 4N causing a displacement of 0.02 m. We attach a 2kg body to the end, pull it aside through a distance of 0.04m , and then released. Find How much time is required for the body to move half way into the center from its initial position?

Spring is mounted as shown in figure. By attaching a mass to the free end and pulling side ways, we determine that the force is proportional to the displacement a force of 4N causing a displacement of 0.02 m. We attach a 2kg body to the end, pull it aside through a distance of 0.04m , and then released. Find maximum velocity atained by the body.

A rigid rod of mass m with a ball of mass M attached to the free end is restrained to oscillate in a vertical plane as shown in the figure. Find the natural frequency of oscillation.

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

Figure a) shows a spring of force constant k clamped rigidly at once end and a mass m attached to its free end. A force F applied at the free end stretches the spring. Figure b) shows the same spring with both ends free and attached to a mass m at either end. Each end of the spring in figure is stretched by the same force F. (a) What is the maximum extension of the spring in the two cases ? (b) If the mass in figure and the two masses in figure are released free, what is the period of oscillation in each case?

Figure a) shows a spring of force constant k clamped rigidly at once end and a mass m attached to its free end. A force F applied at the free end stretches the spring. Figure b) shows the same spring with both ends free and attached to a mass m at either end. Each end of the spring in figure is stretched by the same force F. (a) What is the maximum extension of the spring in the two cases ? (b) If the mass in figure and the two masses in figure are released free, what is the period of oscillation in each case?

A source S emitting sound of 300 Hz is fixed of block A which is attached to free end of a spring S_A as shown in the figure. The detector D fixed on block B attached to the free end of spring S_B detects this sound. The blocks A and B are simultaneously displaced towards each other through of 1.0 m and then left to vibrate. Find the maximum and minimum frequencies of sound detected by D if the vibrational frequency of each block is 2 Hz (velocity of sound is 340 m/s).