VII - Post-Test Write your beginning record of your result . below. If you meet or exceed the goal, pat your shoulder and aim higher. 2 r teaching purposes only Not for sale Day 1 Day 2 Day 3 Exercise 1. Stretching 2. Bending 3. Hopping 4. Jumping Jack 5. Walking Goal 5 minutes 5 minutes 20 seconds 5 minutes 20 seconds
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Answers
Answer:
A system is shown in the figure. The time period for small oscillations of the two identical blocks will be.
A.
B.
Correct Answer
C.
D.
SOLUTION
Let the mass m be displaced by a small distance x to the right from its mean position as shown in figure (b). Due to it the spring on the left side gets stretched by a length x while that on the right side gets compressed by the same length. The forces acting on the mass are
= -kx towards left hand side
= -kx towards left hand side
The net force acting on the mass is, .
Here and -ve sign shows that force is towards the mean position, therefore the motion executed by the particle is simple harmonic.
Its acceleration is
....(i)
The standard equation of SHM is
...(ii)
Comparing (i) and (ii), we get
Time period,