Table of Contents
Are all oscillatory motion periodic?
Answer: All oscillatory motions are periodic because each oscillations gets completed in a definite interval of time. Eg: On being pulled and then released, a load attached to a spring executes oscillatory motion. On the other hand, all periodic motions may not be oscillatory.
Is circular motion a periodic motion?
Circular Motion can be an example of periodic motion.
What is difference between oscillatory and periodic motion?
Periodic motion is defined as the motion that repeats itself after fixed intervals of time. Oscillatory motion is defined as the to and fro motion of the body about its fixed position. Oscillatory motion is a type of periodic motion.
What is the difference between SHM and periodic motion?
Difference between Periodic and Simple Harmonic Motion In the periodic motion, the displacement of the object may or may not be in the direction of the restoring force. In the simple harmonic motion, the displacement of the object is always in the opposite direction of the restoring force.
Can a motion be oscillatory but not SHM?
Yes, when a ball is dropped from a height on a perfectly elastic plane surface, the motino of ball is oscillatory but not simple harmonic as restoring force F=mg= constant and not F∝-y. …
Why every oscillatory motion is not SHM?
ARE PERIODIC MOTION but ALL PERIODIC MOTION ARE NOT S.H.M. S.H.M. is a periodic or oscillatory motion in which the restoring force is directly proportional to the displacement and acts in a direction opposite to that of displacement. In s.h.m. there is always a resorting force due to which this kind of motion occurs.
Which of the following conditions is not sufficient for SHM and why?
(i) acceleration∝ displacement, Condition(i) is not sufficient because it gives no reference of the direction of acceleration, where as in SHM the acceleration is always in a direction opposite to that of the displacement .
Which of the following condition is not sufficient for simple harmonic motion?
Condition (1) is not sufficient because the direction of motion is not mentioned. The direction of acceleration is always opposite of the displacement. Hence, Condition (I) is not sufficient.
Which of the following condition is not sufficient to prove that a quadrilateral is a parallelogram?
So, when opposite sides are equal in a Quadrilateral it is a parallelogram. The Condition which are not Sufficient to prove that a quadrilateral is a parallelogram: IV: A pair of opposite angles congruent and a pair of opposite sides congruent.
Which of the following is condition of simple harmonic motion?
In simple harmonic motion, acceleration ∝ displacement. Hence, the necessary condition for simple harmonic motion is that displacement and acceleration should be proportional.
Which is the necessary and sufficient condition for SHM?
Proportionality between acceleration and displacement from equilibrium position.
When the pendulum is making SHM and passes through?
If an oscillator executing in SHM passes through the extreme (end point) then the oscillator instantaneously comes to rest (its velocity becomes zero) thus kinetic energy becomes zero. But its potential energy is maximum.
Which condition is sufficient to show that quadrilateral DEFG is a parallelogram?
To use the supplementary property to identify a parallelogram. The condition must be that that the same-side interior angles (consecutive angles) are supplementary.
Which statement is sufficient to prove that a quadrilateral is a square?
If a quadrilateral has four congruent sides and four right angles, then it’s a square (reverse of the square definition). If two consecutive sides of a rectangle are congruent, then it’s a square (neither the reverse of the definition nor the converse of a property).
How do you prove a quadrilateral is a parallelogram on a graph?
To prove that it is a parallelogram, remember that the definition of a parallelogram is a quadrilateral with two pairs of parallel sides. Therefore, one way to prove it is a parallelogram is to verify that the opposite sides are parallel. From algebra, remember that two lines are parallel if they have the same slope.
What do you need to prove a parallelogram?
Well, we must show one of the six basic properties of parallelograms to be true!
- Both pairs of opposite sides are parallel.
- Both pairs of opposite sides are congruent.
- Both pairs of opposite angles are congruent.
- Diagonals bisect each other.
- One angle is supplementary to both consecutive angles (same-side interior)
What are the conditions for a quadrilateral to be a parallelogram?
Here are the six ways to prove a quadrilateral is a parallelogram:
- Prove that opposite sides are congruent.
- Prove that opposite angles are congruent.
- Prove that opposite sides are parallel.
- Prove that consecutive angles are supplementary (adding to 180°)
- Prove that an angle is supplementary to both its consecutive angles.
What are the different conditions that makes a quadrilateral?
Opposite angles are equal. All sides are equal and, opposite sides are parallel to each other. Diagonals bisect each other perpendicularly. Sum of any two adjacent angles is 180°
How do you prove a quadrilateral is congruent?
1 Answer. Generally, you have to put sides an interior angles of one quadrilateral in correspondence with sides and angle of another and to prove that all corresponding pairs of sides and angles are congruent.
Does a parallelogram have four right angles?
Special Quadrilaterals A parallelogram has two parallel pairs of opposite sides. A rectangle has two pairs of opposite sides parallel, and four right angles. It is also a parallelogram, since it has two pairs of parallel sides.