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The average energy in one time period in simple harmonic motion is
Concept: undefined >> undefined
A pendulum clock that keeps correct time on the earth is taken to the moon. It will run
Concept: undefined >> undefined
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A wall clock uses a vertical spring-mass system to measure the time. Each time the mass reaches an extreme position, the clock advances by a second. The clock gives correct time at the equator. If the clock is taken to the poles it will
Concept: undefined >> undefined
A pendulum clock keeping correct time is taken to high altitudes,
Concept: undefined >> undefined
The bob of a pendulum at rest is given a sharp hit to impart a horizontal velocity \[\sqrt{10 \text{ gl }}\], where l is the length of the pendulum. Find the tension in the string when (a) the string is horizontal, (b) the bob is at its highest point and (c) the string makes an angle of 60° with the upward vertical.
Concept: undefined >> undefined
A pendulum clock keeping correct time is taken to high altitudes,
Concept: undefined >> undefined
A simple pendulum consists of a 50 cm long string connected to a 100 g ball. The ball is pulled aside so that the string makes an angle of 37° with the vertical and is then released. Find the tension in the string when the bob is at its lowest position.
Concept: undefined >> undefined
Select the correct statements.
(a) A simple harmonic motion is necessarily periodic.
(b) A simple harmonic motion is necessarily oscillatory.
(c) An oscillatory motion is necessarily periodic.
(d) A periodic motion is necessarily oscillatory.
Concept: undefined >> undefined
A particle moves in a circular path with a continuously increasing speed. Its motion is
Concept: undefined >> undefined
The motion of a torsional pendulum is
(a) periodic
(b) oscillatory
(c) simple harmonic
(d) angular simple harmonic
Concept: undefined >> undefined
Which of the following quantities are always negative in a simple harmonic motion?
(a) \[\vec{F} . \vec{a} .\]
(b) \[\vec{v} . \vec{r} .\]
(c) \[\vec{a} . \vec{r} .\]
(d)\[\vec{F} . \vec{r} .\]
Concept: undefined >> undefined
Following figure following shows a smooth track, a part of which is a circle of radius R. A block of mass m is pushed against a spring of spring constant k fixed at the left end and is then released. Find the initial compression of the spring so that the block presses the track with a force mg when it reaches the point P, where the radius of the track is horizontal.

Concept: undefined >> undefined
Which of the following quantities are always positive in a simple harmonic motion?
Concept: undefined >> undefined
The bob of a stationary pendulum is given a sharp hit to impart it a horizontal speed of \[\sqrt{3 gl}\] . Find the angle rotated by the string before it becomes slack.
Concept: undefined >> undefined
Consider the equations `P=lim_(triangles->0)"F"/(triangle"S")` and P1 - P2 = pgz. In an elevator accelerating upward
Concept: undefined >> undefined
Which of the following quantities are always zero in a simple harmonic motion?
(a) \[\vec{F} \times \vec{a} .\]
(b) \[\vec{v} \times \vec{r} .\]
(c) \[\vec{a} \times \vec{r} .\]
(d) \[\vec{F} \times \vec{r} .\]
Concept: undefined >> undefined
Suppose a tunnel is dug along a diameter of the earth. A particle is dropped from a point, a distance h directly above the tunnel. The motion of the particle as seen from the earth is
(a) simple harmonic
(b) parabolic
(c) on a straight line
(d) periodic
Concept: undefined >> undefined
For a particle executing simple harmonic motion, the acceleration is proportional to
Concept: undefined >> undefined
A particle moves in the X-Y plane according to the equation \[\overrightarrow{r} = \left( \overrightarrow{i} + 2 \overrightarrow{j} \right)A\cos\omega t .\]
The motion of the particle is
(a) on a straight line
(b) on an ellipse
(c) periodic
(d) simple harmonic
Concept: undefined >> undefined
A particle moves on the X-axis according to the equation x = x0 sin2 ωt. The motion is simple harmonic
Concept: undefined >> undefined
