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"`
Topper's Solved these Questions
SIMPLE HARMONIC MOTION
ALLEN |Exercise SOME WORKED OUT EXAMPLES|29 Videos
A spring having with a spring constant 1200 N m^(-1) is mounted on a horizontal table as shown in Fig. 14.24. A mass of 3 kg is attached to the free end of the spring. The mass is then pulled sideways to a distance of 2.0 cm and released. Determine (i) the frequency of oscillations, (ii) maximum acceleration of the mass, and (iii) the maximum speed of the mass.
A 2kg collar is attached to a spring of spring constant 800 Nm^(-1) . It slides without friction over a horizontal rod. The collar is displaced from its equilibrium position by 10.0 cm and released. Calculate the period of the oscillation.
A 5kg 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 10.0 cm and released. Calculate the period of oscillation.
A 5 kg collar is attached to a spring of spring constant 500 N m^(-1) . It slides without friction over a horizontal rod. The collar is displaced from its equilibrium position by 10.0 cm and released. Calculate (a) the period of oscillation, (b) the maximum speed and (c) maximum acceleration of the collar.
A spring of spring constant 500 N/m is attached on a rough surface at one side . Coefficient of friction for rough surface is 0.75 . A block of mass 100 kg collide with the free end of spring at a speed of 10sqrt(2) ms^(-1) , then how much will spring be compressed ? (g =10 ms^(-2))
Two blocks A and B of mass m and 2m respectively are connected by a massless spring of spring constant K . This system lies over a smooth horizontal surface. At t=0 the bolck A has velocity u towards right as shown while the speed of block B is zero, and the length of spring is equal to its natural length at that at that instant. {:(,"Column I",,"Column II"),((A),"The velocity of block A",(P),"can never be zero"),((B),"The velocity of block B",(Q),"may be zero at certain instants of time"),((C),"The kinetic energy of system of two block",(R),"is minimum at maximum compression of spring"),((D),"The potential energy of spring",(S),"is maximum at maximum extension of spring"):}
A 100g block is connected to a horizontal massless spring of force constant 25.6 N//m . The block is free to oscillate on a horizontal fricationless surface. The block is displced by 3 cm from the equilibrium position, and at t = 0 , it si released from rest at x = 0 , The position-time graph of motion of the block is shown in figure. When the block is at position A on the graph, its