Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Physics-

General

Easy

Question

A and Bare fixed points and the mass M is tied by strings at A and B. If the mass M is displaced slightly out of this plane and released, it will execute oscillations with period ( given $A M equals B M equals L comma A B equals 2 left parenthesis d right parenthesis$

$2 \sqrt{\frac{L}{g}} π$
$2 π \sqrt{\frac{{(L^{2} - d^{2})}^{1 / 2}}{g}}$
$2 π \sqrt{\frac{{(L^{2} + d^{2})}^{1 / 2}}{g}}$
$2 π \sqrt{\frac{{(2 d^{2})}^{3 / 2}}{g}}$

The correct answer is: $2 pi square root of fraction numerator open parentheses L to the power of 2 end exponent minus d to the power of 2 end exponent close parentheses to the power of 1 divided by 2 end exponent over denominator g end fraction end root$

The motion of $M$ is SHM, with length $C M equals square root of L to the power of 2 end exponent minus d to the power of 2 end exponent end root$
$therefore blank 2 pi square root of fraction numerator open parentheses L to the power of 2 end exponent plus d to the power of 2 end exponent close parentheses to the power of 1 divided by 2 end exponent over denominator g end fraction end root$

Related Questions to study

The displacement of two identical particle executing SHM are represented by equations $x blank subscript 1 end subscript equals 8 blank s i n invisible function application left parenthesis 10 t plus pi divided by 6 right parenthesis$ and $x subscript 2 end subscript equals 5 sin invisible function application omega t.$ For what value of $omega$ energy of both the particle is same?

The displacement of two identical particle executing SHM are represented by equations $x blank subscript 1 end subscript equals 8 blank s i n invisible function application left parenthesis 10 t plus pi divided by 6 right parenthesis$ and $x subscript 2 end subscript equals 5 sin invisible function application omega t.$ For what value of $omega$ energy of both the particle is same?

physics-General

An object suspended from a spring exhibits oscillations of period T. Now the spring is cut in two halves and the same object is suspended with two halves as shown in figure. The new time period of oscillation will become

An object suspended from a spring exhibits oscillations of period T. Now the spring is cut in two halves and the same object is suspended with two halves as shown in figure. The new time period of oscillation will become

physics-General

A block [b] is attached to two unstretched springs $S subscript 1 end subscript$ and $S subscript 2 end subscript$ with spring constants $k$ and 4 k, respectively (see figure I). The other ends are attached to identical supports $M subscript 1 end subscript$ and $M subscript 2 end subscript$ not attached to the walls. The springs and supports have negligible mass. There is no friction anywhere. The block B is displaced towards wall 1 by a small distance $x$ (figure II) and released. The block returns and moves a maximum distance $y$ towards wall 2. Displacements $x$ and $y$ are measured with respect to the equilibrium position of the block B. The ratio $fraction numerator y over denominator x end fraction$ is

A block [b] is attached to two unstretched springs $S subscript 1 end subscript$ and $S subscript 2 end subscript$ with spring constants $k$ and 4 k, respectively (see figure I). The other ends are attached to identical supports $M subscript 1 end subscript$ and $M subscript 2 end subscript$ not attached to the walls. The springs and supports have negligible mass. There is no friction anywhere. The block B is displaced towards wall 1 by a small distance $x$ (figure II) and released. The block returns and moves a maximum distance $y$ towards wall 2. Displacements $x$ and $y$ are measured with respect to the equilibrium position of the block B. The ratio $fraction numerator y over denominator x end fraction$ is

physics-General

parallel

A body of mass $8 blank k g$ is suspended through two light springs $X$ and $Y$ connected in series as shown in figure. The readings in $X$ and $Y$ respectively are

A body of mass $8 blank k g$ is suspended through two light springs $X$ and $Y$ connected in series as shown in figure. The readings in $X$ and $Y$ respectively are

physics-General

A mass $m$ performs oscillations of period $T$ when hanged by spring of force constant $K.$ If spring is cut in two parts and arranged in parallel and same mass is oscillated by them, then the new time period will be

A mass $m$ performs oscillations of period $T$ when hanged by spring of force constant $K.$ If spring is cut in two parts and arranged in parallel and same mass is oscillated by them, then the new time period will be

physics-General

For a particle executing SHM the displacement $x$ is given by $x equals A cos invisible function application omega t$ . Identify the graph which represents the variation of potential energy (PE) as a function of time $t$ and displacement $x$ .

For a particle executing SHM the displacement $x$ is given by $x equals A cos invisible function application omega t$ . Identify the graph which represents the variation of potential energy (PE) as a function of time $t$ and displacement $x$ .

physics-General

parallel

Two identical springs are connected in series and parallel as shown in the figure. If $f subscript s end subscript a n d f subscript p end subscript$ are frequencies of arrangements, what is $fraction numerator f subscript s end subscript over denominator f subscript p end subscript end fraction$ ?

Two identical springs are connected in series and parallel as shown in the figure. If $f subscript s end subscript a n d f subscript p end subscript$ are frequencies of arrangements, what is $fraction numerator f subscript s end subscript over denominator f subscript p end subscript end fraction$ ?

physics-General

A smooth track is shown in figure. A part of track is a circle of radius R. A block of mass m is pushed against a spring of constant k fixed at the left end and is then released. The initial compression of the spring so that the block presses the track with a force mg when it reaches the point P of the track, where R is radius of the track :

A smooth track is shown in figure. A part of track is a circle of radius R. A block of mass m is pushed against a spring of constant k fixed at the left end and is then released. The initial compression of the spring so that the block presses the track with a force mg when it reaches the point P of the track, where R is radius of the track :

physics-General

A block weighing 10 N travels down a smooth curved track AB joined to a rough horizontal surface. The rough surface has a friction coefficient of 0.20 with the block. If the block starts slipping on the track from a point 1.0 m above the horizontal surface, then it would move a distance S on the rough surface. The value of S is $open square brackets g equals 10 text ms end text s to the power of negative 2 end exponent close square brackets$

A block weighing 10 N travels down a smooth curved track AB joined to a rough horizontal surface. The rough surface has a friction coefficient of 0.20 with the block. If the block starts slipping on the track from a point 1.0 m above the horizontal surface, then it would move a distance S on the rough surface. The value of S is $open square brackets g equals 10 text ms end text s to the power of negative 2 end exponent close square brackets$

physics-General

parallel

Consider the situation shown in the figure. Initially the spring is unstreched when the system is released from rest. Assuming no friction in the pulley, the maximum elongation of the spring is

Consider the situation shown in the figure. Initially the spring is unstreched when the system is released from rest. Assuming no friction in the pulley, the maximum elongation of the spring is

physics-General

Acceleration $A$ and time period $T$ of a body in S.H.M. is given by a curve shown below. Then corresponding graph, between identic energy (K.E) and time $t$ is correctly represented by

Acceleration $A$ and time period $T$ of a body in S.H.M. is given by a curve shown below. Then corresponding graph, between identic energy (K.E) and time $t$ is correctly represented by

physics-General

Coefficient of friction between block 2 and ground is $1.3 divided by square root of 2.$ Work done by the friction force when blocks are released for 1 second is

Coefficient of friction between block 2 and ground is $1.3 divided by square root of 2.$ Work done by the friction force when blocks are released for 1 second is

physics-General

parallel

On a smooth inclined plane, a body of mass M is attached between two springs. The other ends of the springs are fixed to firm support. If each spring has force constant k, the period of oscillation of the body (assuming the springs as massless) is

On a smooth inclined plane, a body of mass M is attached between two springs. The other ends of the springs are fixed to firm support. If each spring has force constant k, the period of oscillation of the body (assuming the springs as massless) is

physics-General

What will be the force constant of the spring system shown in figure?

What will be the force constant of the spring system shown in figure?

physics-General

A triangle formed using three wires AB, BC and CA and is placed in a vertical plane. Coefficient of friction for all the three wires is same. If $w subscript 1 end subscript$ and $w subscript 2 end subscript$ is the work done by the friction in moving an object from A to B through C' and C respectively, then (work done by external agent is same in both cases)

A triangle formed using three wires AB, BC and CA and is placed in a vertical plane. Coefficient of friction for all the three wires is same. If $w subscript 1 end subscript$ and $w subscript 2 end subscript$ is the work done by the friction in moving an object from A to B through C' and C respectively, then (work done by external agent is same in both cases)

physics-General

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.