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A 100 g block is connected to a horizont...


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 A on the graph, its

A

position and velocity both are negative

B

position is positive and velocity is negative

C

position is negative and velocity is positive

D

position and velocity both the positive

Text Solution

Verified by Experts

The correct Answer is:
B

At position A block is in positive region and slope is negative, so velocity is negative.
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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. When the block is at position C on the graph, its

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. Position of the block as a function of time can now 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. Velocity of the block as a function of time can be expressed as

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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

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