Motion Test - 7

 A particle performing the periodic motion should repeat the motion after a finite time period T. Hence it should satisfy the equation f(t) = f(t+T)

The correct option is (c)

According to the question, the correct option will be ‘D’ because If a body rotates its motion its rotator. The rolling motion is a combination of rotation and translation motion.
Only in translational motion body moves along a straight line, that means the body doesn't rotate then its motion is translational.

$\frac{6}{10}$According to the question the correct option will be ‘A’ as: 

M=0.1Kg

f =−10x

⇒k=10

$W=\sqrt{\frac{k}{m}}$

=$\sqrt{\frac{10}{0.1}}=10$
V_max=6m/s

⇒A=$\frac{6}{10}$=0.6m

Hence, the option A is the correct answer.

According to the question, the correct option will be ‘C’ because motion which repeats itself after regular intervals of time is known as periodic motion. Oscillatory motion is to and from motion.

According to the question, the correct option will be ‘D’ because Period motion is a motion in which motion body performing it is repeated in regular interval of time. The all given motion do so, So all the motion is periodic.

According to the question, the correct option will be ‘A’ because the relation between kinetic energy (K) and momentum (p) is given by, 

K = $\frac{p^2}{2m}$

where m be the mass of the body

So, p=$\sqrt{2mk}$

As kinetic energy is constant, so p∝m

Thus, the heavier ball has more momentum than that of the lighter ball.

According to the question the correct option will be ‘C’ because according to concept S.H.M, we know that restoring force increases with increases of displacement. In this case, this will happen when 'C' remains constant at x increases.

According to the question, the correct option will be ‘A’ because of the displacement of the body from its equilibrium is directly proportional to the restoring force. Therefore, the higher the displacement, the higher is the restoring force. The correct option is (a)

According to the question, the correct option will be ‘A’ because the rectilinear motion is a straight line motion or one-dimensional motion.

According to the question, the correct option will be ‘C’ because there are 2 degrees of freedom, 1 translational along which the pendulum bob moves, and second rotational - the hinge about which it forms an arc motion.

According to the question the correct option will be ‘A’ because Giant wheel- because it has rotational motion as well as transnational motion. While apple falling from a tree, a car moving on straight rod and coin moves over a carom board have only linear or rectilinear motion.

According to the question, the correct option will be ‘A’ because although waves consist of oscillation, there is no wavelength in a pure oscillation. It is there only in waves.

According to the question the correct option will be ‘B’ because a girl skipping at a particular spot'-It is a periodic motion. The initial position of the girl is repeated in a regular interval of time.

According to the question, the correct option will be ‘A’ because
Newton's First law of motion states that:
Every object at rest tends to remain at rest and every object moving with uniform velocity tends to continue it's motion i.e. tends to maintain it's state of "Equilibrium" until and unless an external force upon it.

According to the question, the correct option will be ‘C’ because the motion of a simple pendulum is an example of oscillatory motion.