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
A
(a)position and velocity both are negative
B
(b)position and velocity both are positive.
C
(c)position is negative and velocity is positive.
D
(d)position is positive and velocity is negative.
Text Solution
Verified by Experts
The correct Answer is:
C
At position A, x is negative and `(dx)/(dt) ` is negative.
Topper's Solved these Questions
SIMPLE HARMONIC MOTION
ALLEN |Exercise SOME WORKED OUT EXAMPLES|29 Videos
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. Let us now make a slight change to the initial conditions. At t = 0 , let the block be released from the same position with an initial velocity v_(1) = 64 cm//s . Position of the block as a function of time can be expressed as
A 100 g block is connected to a horizontal massless spring of force constant 25.6(N)/(m) As shown in Fig. the block is free to oscillate on a horizontal frictionless surface. The block is displaced 3 cm from the equilibrium position and , at t=0 , it is released from rest at x=0 It executes simple harmonic motion with the postive x-direction indecated in Fig. The position time (x-t) graph of motion of the block is as shown in Fig. Q. When the block is at position B on the graph its.
Figure shows a system consisting of a massless pulley, a spring of force constant k and a block of mass m. If the block is slightly displaced vertically down from is equilibrium position and then released, the period of its vertical oscillation is
A block whose mass is 1 kg is fastened to a spring. The spring has a spring constant of 50 N m^(-1) . The block is pulled to a distance x = 10 cm from its equilibrium position at x = 0 on a frictionless surface from rest at t = 0. Calculate the kinetic, potential and total energies of the block when it is 5 cm away from the mean position.
A mass 2kg is attached to the spring of spring constant 50 Nm^(-1) . The block is pulled to a distance of 5 cm from its equilibrium position at x= 0 on a horizontal frictionless surface from rest at t=0. Write the expression for its displacement at anytime t.
Two identical springs of spring constant k are attached to a block of mass m and to fixed supports as shown in figure. When the mass is displaced from equilibrium position by a distance x towards right, find the restoring force.
A block of mass 2 kg is connected with a spring of natural length 40 cm of force constant K=200 N//m . The cofficient of friction is mu=0.5 . When released from the given position, acceleration of block will be
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 block whose mass is 1kg is fastened to a spring. The spring has a spring constant of 50 Nm^(-1) . The block is pulled to a distance x=10 cm from its equilibrium position at x=0 on a frictionless surface from rest at t=0. Calculate the kinetic, potential and total energies of the block when it is 5 cm away from the mean position.
A block whose mass is 2kg is fastened to a spring. The spring has a spring constant of 100 Nm^(-1) . The block is pulled to a distance x=10 cm from its equilibrium position at x=0 on a frictionless surface from rest at t=0. Calculate the kinetic, potential and total energies of the block when it is 5 cm away from the mean position.
_S01_050_Q01.png)
