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
`5 rad//sec`
B
`30 rad//sec`
C
`10 rad//sec`
D
`20 rad//sec`
Text Solution
Verified by Experts
The correct Answer is:
D
Angular frequency `omega = sqrt((K)/(m)) = sqrt((1200)/(3)) = 20"rad"//"sec"`
A block of mass m connected with a smooth prismatic wedge of mass M is released from rest when the spring is relaxed. Find the angular frequency of oscillation.
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 ?
Two blocks of masses m_1 =1kg and m_2 = 2kg are connected by a spring of spring constant k = 24 N/m and placed on a frictionless horizontal surface. The block m_(1) is imparted an initial velocity v_(0) = 12cm/s to the right. The amplitude of oscillation 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 . The speed of the mass when the spring is compressed by 1 cm is
Two blocks A and B of masses 3 kg and 6 kg are connected by a massless spring of force constant "1800 N m"^(-1) and then they are placed on a smooth horizontal surface. The blocks are pulled apart to stretch the spring by 5 cm and then released. What is the relative velocity (in ms^(-1) ) of the blocks when the spring comes to its natural length?
Two identical springs of spring constant k are attached to a block of mass m and to fixed supports as shown in the figure. The time period of oscillation 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 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.
Two spring are connected toa block of mass M placed a frictionless surface as shown if both the spring have a spring constant k the frequency of oscillation block is
_S01_037_Q01.png)
