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 $T$ shaped object with dimension shown in the figure, is lying on a smooth floor. A force $F$ is applied at the point $P$ parallel to $A B$ , such that the object has only the translational motion without rotation. Find the location of $P$ with respect to $C$ .

$\frac{2}{3} l$
$\frac{3}{2} l$
$\frac{4}{3} l$
$l$

The correct answer is: $fraction numerator 4 over denominator 3 end fraction l$

For translator motion the force should be applied on the centre of mass of the body so we have to calculate the location of centre of mass of $T$ shaped object.
Let mass of rod $A B$ is $m$ so the mass of rod $C D$ will be 2 $m$ .
Let $y subscript 1 end subscript$ is the centre of mass of rod $A B$ and $y subscript 2 end subscript$ is the centre of mass of rod $C D$ . We can consider that whole mass of the rod is placed at their respective centre of mass $i e$ , mass $m$ is placed at $y subscript 1 end subscript$ and mass $2 m$ is placed at $y subscript 2 end subscript$ .
Taking point $c$ at the origin position vector of points $y subscript 1 end subscript a n d blank y subscript 2 end subscript$ can be written as
$r subscript 1 end subscript equals 2 l j comma blank r subscript 2 end subscript equals l j$
and $m subscript 1 end subscript equals m a n d m subscript 2 end subscript equals 2 m$
Position vector of centre of mass of the system
$r subscript C M end subscript equals fraction numerator m subscript 1 end subscript r subscript 1 end subscript plus m subscript 2 end subscript r subscript 2 end subscript over denominator m plus m subscript 2 end subscript end fraction equals fraction numerator m 2 l stack j with hat on top plus 2 m l stack j with hat on top over denominator m plus 2 m end fraction equals fraction numerator 4 m l stack j with hat on top over denominator 3 m end fraction equals fraction numerator 4 l stack j with hat on top over denominator 3 end fraction$

Related Questions to study

Two balls each of mass $m$ are placed on the vertices $A$ and $B$ of an equilateral triangle $A B C$ of side 1m. A ball of mass 2 $m$ is placed at vertex $C$ . The centre of mass of this system from vertex $A$ (located at origin) is

Two balls each of mass $m$ are placed on the vertices $A$ and $B$ of an equilateral triangle $A B C$ of side 1m. A ball of mass 2 $m$ is placed at vertex $C$ . The centre of mass of this system from vertex $A$ (located at origin) is

physics-General

Three identical spheres, each of mass 1 kg are kept as shown in figure below, touching each other, with their centers on a straight line. If their centres are marked $P$ , $Q$ , $R blank$ respectively, the distance of centre of mass of the system from $P$ is

Three identical spheres, each of mass 1 kg are kept as shown in figure below, touching each other, with their centers on a straight line. If their centres are marked $P$ , $Q$ , $R blank$ respectively, the distance of centre of mass of the system from $P$ is

physics-General

WhatweightofHNO3isneededtoconvert 62gmofP₄ inH₃PO₄ in the reaction? P₄ +HNO₃ →H₃PO₄ +NO₂ +H₂O

WhatweightofHNO3isneededtoconvert 62gmofP₄ inH₃PO₄ in the reaction? P₄ +HNO₃ →H₃PO₄ +NO₂ +H₂O

chemistry-General

parallel

The distance of the centre of mass of the $T$ -shaped plate from $O$ is

The distance of the centre of mass of the $T$ -shaped plate from $O$ is

physics-General

Look at the drawing given in the figure, which has been drawn with ink of uniform line-thickness. The mass of ink used to draw each of the two inner circles, and each of the two line segments is $m$ . The mass of ink used to draw the outer circle is 6 $m$ . The coordinates of the centres of the different parts are : outer circle (0, 0) left inner circle (- $a comma blank a$ ), right inner circle ( $a comma blank a$ ) vertical line (0, 0) and horizontal line (0, - $a$ ). The $y$ - coordinate of the centre of mass of the ink in the drawing is

Look at the drawing given in the figure, which has been drawn with ink of uniform line-thickness. The mass of ink used to draw each of the two inner circles, and each of the two line segments is $m$ . The mass of ink used to draw the outer circle is 6 $m$ . The coordinates of the centres of the different parts are : outer circle (0, 0) left inner circle (- $a comma blank a$ ), right inner circle ( $a comma blank a$ ) vertical line (0, 0) and horizontal line (0, - $a$ ). The $y$ - coordinate of the centre of mass of the ink in the drawing is

physics-General

The enthalpy and entropy change for reaction Br2(l)+Cl2(g)→2BrCl(g)are30KJmol–1and 105JK–1mol–1respectively.Thetemperature at which the reaction will be in equilibrium is-

The enthalpy and entropy change for reaction Br2(l)+Cl2(g)→2BrCl(g)are30KJmol–1and 105JK–1mol–1respectively.Thetemperature at which the reaction will be in equilibrium is-

chemistry-General

parallel

Assume each reaction is carried out in an open container. For which reaction will DH=DE?

Assume each reaction is carried out in an open container. For which reaction will DH=DE?

chemistry-General

Marks scored by 100 students in a 25 marks unit test of Mathematics is given below Their median is

Marks scored by 100 students in a 25 marks unit test of Mathematics is given below Their median is

The mode for the following frequency distribution

The mode for the following frequency distribution

parallel

The median of the following data is

The median of the following data is

The median of the following data is

The median of the following data is

The median from the following data is

The median from the following data is

parallel

The median of the following frequency distribution

The median of the following frequency distribution

The value of median for the data given below is

The value of median for the data given below is

Which of the following solutions has the highest normality-

Which of the following solutions has the highest normality-

chemistry-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.