# Relating Circular Motion to SHM

## Trending Questions

**Q.**

The velocity v of a particle at time t is given by v=at+ b/t+ c where a, b, c are constants . What will be the dimensions of a, b and c

**Q.**A body is moving with velocity 30m/s towards east. After 10 seconds its velocity becomes 40m/s towards north. The average acceleration of the body is

(Answer coming is 5m/S2)

**Q.**The radius of circle, the period of revolution, initial position and sense of revolution are indicated in the figure.

y - projection of the radius vector of rotating particle P is

- y(t)=3 cos(3πt2), where y is in m
- y(t)=−3 cos2πt, where y is in m
- y(t)=4 sin(πt2), where y is in m

y(t)=3 cos(πt2), where y is in m

**Q.**Average velocity of a particle executing S.H.M. in one complete vibration is

- Aω22
- Aω2
- Aω
- zero

**Q.**

What is SHM in Physics?

**Q.**

What is u in Physics?

**Q.**If the apparent value of dip at a place in two perpendicular vertical planes are respectively 30∘ and 45∘, then the true angle of dip at that place is

- cot−1(2)
- tan−1(2)
- cot−1(√3)
- cot−1(√5)

**Q.**A block having mass m and charge q is connected by a spring of force constant k. The block lies on a frictionless horizontal track and a uniform electric field E acts on system as shown. The block is relased from rest when the spring is unstretched (at x=0). Identify the wrong statement.

- Amplitude of the oscillation of block is qEk
- Amplitude of the oscillation is 2qEk
- maximum extension in the spring is 2qEk
- In equilibrium position extension in the spring is qEk

**Q.**

what does |dv/dt| and d|v|/dt represent . Can these be equal.

**Q.**A body is moving with a uniform acceleration. Its velocity after 5 seconds is 25m/s and after 8 seconds is 34m/s. Calculate the distance it will cover in the 10th second.

**Q.**

A block of mass $1\mathrm{Kg}$ attached to a spring is made to oscillate with an initial amplitude of $12\mathrm{cm}$. After $2$ minutes the amplitude decreases to $6\mathrm{cm}$. Determine the value of the damping constant for this motion. (take $\mathrm{ln}\left(2\right)=0.693$).

$3.3\times {10}^{2}{\mathrm{kgs}}^{-1}$

$5.7\times {10}^{-3}\mathrm{Kg}{s}^{-1}$

$1.16\times {10}^{-2}{\mathrm{Kgs}}^{-1}$

$0.69\times {10}^{2}{\mathrm{Kgs}}^{-1}$

**Q.**What is damped oscillations

**Q.**The oscillation of body on a smooth horizontal surface is represented by the equation,

x=Acos(ωt)

Where

x= displacement at time t

ω= frequency of oscillation

Which one of the following graphs shows correctly the variation ′a′ with ′t′?

**Q.**

A student is standing at a distance of 50 m from the bus as soon as the bus begins its motion with an acceleration of 1 M per second the stuudent starts running towards the Bus with uniform velocity U asuming the motion to be along straight road the minimum value of u so that the student is able to catch the bus is

**Q.**

What is the principle of compound pendulum?

**Q.**Two particles are in SHM in a straight line about same equilibrium position. Amplitude A and time period T of both the particles are equal. At time t=0, one particle is at displacement y1=+A and the other at y2=−A2, and they are approaching towards each other. After what time they cross each other?

- T3
- 5T6
- T6
- T4

**Q.**Two simple harmonic motions given by x=Asin(ωt+δ) and y=Asin(ωt+δ+π2) act on a particle simultaneously. Then the motion of particle will be:

- circular anti-clockwise
- elliptical clockwise
- elliptical anti-clockwise
- circular clockwise

**Q.**

Is inverse $\mathrm{sin}$ the same as $cosec$?

**Q.**

What is damped SHM?

**Q.**

An object starts from rest with constant acceleration of 4 m/s^2 find the distance travelled by that object in 5th half second

**Q.**

A body is in motion along a straight line. As it crosses a fixed point a stop watch is started. The body travels a distance of 1.80m in the first 3 second and 2.20m in next 5 seconds what will be the velocity at the end of 9 seconds?

**Q.**What is dv/ds? How can it used

**Q.**The radius of circle, period of revolution, initial position and sense of revolution are indicated in the figure.

The y-projection of the radius vector of the rotating particle P is

- y(t) =−3cos2πt, where y is in m
- y(t) = 4sin(πt2), where y is in m
- y(t) = 3 cos(πt2), where y is in m
- y(t) = 3cos(3πt2), where y is in m

**Q.**

What affects the swing rate of a pendulum?

**Q.**

If Y = A Sin ( wt- kx ) find dimension of w and k if Y is displacement, x is distance and t is time.

**Q.**

A train is running at full speed when brakes are applied. In the first minute it travels 8 km and in the next minute it travels 3 km. initial speed of the train is

**Q.**Why is it easier to balance a bicycle in motion?

**Q.**

A body covers 200cm in the first 2sec and 220cm in next 4sec under constant acceleration then velocity of body after 7sec is?

**Q.**

The relation between time and displacement of a moving object is given as t= ax^{2} + bx, where a, b are constants. Prove that the acceleration of the body is( -2av^{3})

**Q.**

Check the correctness

s=u+12a(2t−1)