Recent questions tagged medium

A uniform triangular plate of mass m whose vertices are ABC and has length $l, \frac{l}{2}$ and $\large\frac{l}{\sqrt 2}$. Find the moment of inertia of this plate about an axis passing through the point B and perpendicular to the plane of the plate

asked Nov 26, 2013 by meena.p

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Moment of inertia of a portion of a disc about an axis perpendicular to its plane; Mass of the object is M and radius R is

asked Nov 26, 2013 by meena.p

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Moment of inertia of three uniform rods of mass M and length l joined to form an equilateral triangle, about an axis passing through one of its sides.

asked Nov 26, 2013 by meena.p

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Moment of inertia of a thin rod of mass M and length l about an axis as shown .

asked Nov 26, 2013 by meena.p

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A particle of mass m is projected with a speed U at an angle $\theta$ with the horizontal. Find the torque of the weight of the particle about the point of projection when the particle is at the highest point .

asked Nov 25, 2013 by meena.p

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When a ceiling fan is switched on, it makes 10 rotations in the first 3 seconds. Assuming uniform angular acceleration, of how many revolutions it will make in the next 3 seconds?

asked Nov 25, 2013 by meena.p

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Two particles A and B each of mass m are attached by a light inextensible string of length 2l. The whole system lies on a smooth horizontal table with B initially at a distance l from A. The particle at the end B is projected across the table with speed is perpendicular to AB. velocity of ball A just after the **** is

asked Nov 24, 2013 by meena.p

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A particle of mass m strikes elastically with a disc of radius R, with a velocity $\overrightarrow {v}$ as shown. If the mass of the disc is equal to that of the particle and the surface of contact is smooth, then the velocity of disc just after the collision is

asked Nov 24, 2013 by meena.p

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Two identical billiard balls are in contact on a smooth table. A third identical ball strikes them symmetrically and come to rest after impact. The coefficient of restitution is

asked Nov 24, 2013 by meena.p

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A sphere of mass $m_1= 2 kg$ collides with a sphere of mass $m_2= 3 kg$ which is at rest. Mass $m_1$will move at right angles to the line joining the centres at the time of collision,the coefficient of restitution is

asked Nov 24, 2013 by meena.p

1 answer

If in the expansion of $(x+a)^{15},$ the $11^{th}$ term is $G.M.$ of $8^{th} $ & $12^{th}$ terms, then which term is the greatest term?

asked Nov 24, 2013 by rvidyagovindarajan_1

1 answer

A small ball on a friction less horizontal surface moves towards right with velocity V. It collides with the wall and return back and continues to and fro motion. If the average speed for first to and fro motion of the ball is $\bigg(\large\frac{2}{3} V\bigg)$, then the coefficient of restitution of impact is

asked Nov 24, 2013 by meena.p

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Degree of dissociation of an acid HCl is 95%. 0.192 g of the acid is present in 0.5 L of solution. The pH of the solution is

asked Nov 23, 2013 by mosymeow_1

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At a certain temperature, the value of $\rho K_w$ is 13.4 and the measured $\rho H$ of a soltuion is 7. The solution is

asked Nov 23, 2013 by mosymeow_1

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For the percipitation of cations of group four in the qualitative analysis, the medium is made alkaline before passing $H_2S$ gas. The purpose of alkaline Solution is

asked Nov 23, 2013 by mosymeow_1

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Which equilibrium can be described as an acid-base reaction using Lewis acid-base definition but not using Bronsted and Lowry concept?

asked Nov 23, 2013 by mosymeow_1

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When ammonia is added to pure water, the concentration of which of the following species already present, will decrease

asked Nov 23, 2013 by mosymeow_1

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In how many ways can a mixed doubles game in tennis can be arranged from 5 couples, if no husband and wife play in the same game?

asked Nov 23, 2013 by rvidyagovindarajan_1

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A body 'A' experiences perfectly elastic collision with a stationary body 'B'. If after collision the bodies fly apart in opposite directions with equal velocities , the mass ratio of 'A' and 'B' is

asked Nov 23, 2013 by meena.p

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Two particles having position vectors $\overrightarrow {r_1}= (3 \hat i - 5 \hat j)m$ and $\overrightarrow {r_1}= (-5 \hat i +3 \hat j)m$ are moving with velocities $\overrightarrow {V_1}= (-4 \hat i +3 \hat j)m/s$ and $\overrightarrow {V_2}= (-a \hat i +7 \hat j)m/s$. If the collide after 2 seconds, the value of a is

asked Nov 23, 2013 by meena.p

1 answer

A body 'X' with momentum 'p' collides with another identical stationary body ' y ' one dimensionally. During collision ' y' gives an impulse ' J ' to the body 'x'. Then the coefficient of restitution is

asked Nov 22, 2013 by meena.p

1 answer

If $\overrightarrow u,\overrightarrow v,\overrightarrow w$ are non coplanar vectors and $p,q$ are real numbers so that $[3\overrightarrow u\:p\overrightarrow v\:p\overrightarrow w]-[p\overrightarrow v\:p\overrightarrow w\:q\overrightarrow u]-[2\overrightarrow w\:q\overrightarrow v\:q\overrightarrow u]=0$ then number of values of $p,q$ is

asked Nov 22, 2013 by rvidyagovindarajan_1

1 answer

If $A(\theta)=\begin{bmatrix}1&\tan\theta\\-\tan\theta&1\end{bmatrix}$ and $AB=I$ then $(\sec^2\theta)B$ is equal to

asked Nov 22, 2013 by sreemathi.v

1 answer

In two separate collisions the coefficient the coefficient of restitution s $e_1$ and $e_2$ are in the ratio $3:1$ . In the first collision, the relative velocity of approach is twice the relative velocity of separation, then the ratio between the relative velocity of approach and relative velocity of separation in the second collision is

asked Nov 22, 2013 by meena.p

1 answer

If $x,y,z$ are different from zero and $\Delta =\begin{vmatrix}a&b-y&c-z\\a-x&b&c-z\\a-x&b-y&c\end{vmatrix}=0$ then the value of the expression $\large\frac{a}{x}+\frac{b}{y}+\frac{c}{z}$ is

asked Nov 22, 2013 by sreemathi.v

1 answer

A sphere of mass m moving with constant velocity $V$ collide head on with another stationary sphere of same mass. If e is the coefficient of restitution then the ratio of the final velocities of the first and second sphere is

asked Nov 22, 2013 by meena.p

1 answer

A sphere of mass m moving horizontally $V_0$ collides against a pendulum bob of mass m. If the two masses stick together after the collision then the maximum height attained is

asked Nov 22, 2013 by meena.p

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Inverse of the matrix $\begin{bmatrix}\cos 2\theta&-\sin 2\theta\\\sin 2\theta&\cos 2\theta\end{bmatrix}$ is

asked Nov 22, 2013 by sreemathi.v

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A bomb is projected vertically up with a velocity of $100 m/s.$ After $8\; s$ it blasted into two pieces of mass in the ratio $1:2$ . The lighter piece goes it with the velocity $40 \;m/s$ then what is the velocity of the heavier piece just after blasting?

asked Nov 22, 2013 by meena.p

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$53^{53} - 33^{33}$ is divisible by

asked Nov 22, 2013 by rvidyagovindarajan_1

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The value of $\begin{vmatrix}x&p&q\\p&x&q\\p&q&x\end{vmatrix}$ is

asked Nov 22, 2013 by sreemathi.v

1 answer

If $\begin{vmatrix}x^n&x^{n+2}&x^{n+3}\\y^n&y^{n+2}&y^{n+3}\\z^n&z^{n+2}&z^{n+3}\end{vmatrix}$ = $(y-z)(z-x)(x-y)(\large\frac{1}{x}+\frac{1}{y}+\frac{1}{z})$ then $n$ is equal to

asked Nov 22, 2013 by sreemathi.v

1 answer

A rope thrown over a pulley has a ladder with a man of mass m on one of its ends and a counter balancing mass M on its other end. The man climbs with velocity $V_r$ relative to the ladder. Ignoring the masses of the pulley as well as the friction on the pulley axis, the velocity of the centre of mass of this system is

asked Nov 22, 2013 by meena.p

1 answer

If $A=\begin{bmatrix}1&x\\x^2&4y\end{bmatrix}$ and $B=\begin{bmatrix}-3&1\\1&0\end{bmatrix}$ and adj$(A+B)=\begin{bmatrix}1 &0\\0&1\end{bmatrix}$ then values of $x$ and $y$ are

asked Nov 22, 2013 by sreemathi.v

1 answer

A system of two blocks A and B and a wedge C are released from rest as shown in figure. Masses of the blocks and the wedge are $m,2m \;and \;2m$ respectively. The displacement of the wedge C when the block slides down the plane a distance 10 cm is (neglect friction)

asked Nov 22, 2013 by meena.p

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If $A$ and $B$ are square matrices of the same order and $AB=3I$ then $A^{-1}$ is equal to

asked Nov 22, 2013 by sreemathi.v

1 answer

If $A$ and $B$ are square matrices of the same order such that $(A+B)(A-B)=A^2-B^2$ then $(ABA^{-1})^2$ is equal to

asked Nov 22, 2013 by sreemathi.v

1 answer

Two particles of equal mass are projected from the ground with speed $v_1$ and $v_2$ at angles $\theta_1$ and $\theta_2$ as shown. The center of mass of the two particles

asked Nov 22, 2013 by meena.p

1 answer

If the matrix $\begin{bmatrix}a&b\\c&d\end{bmatrix}$ is commutative with the matrix $\begin{bmatrix}1&1\\0&1\end{bmatrix}$ then

asked Nov 22, 2013 by sreemathi.v

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If $C=2\cos \theta$ then the value of the determinant $\Delta=\begin{vmatrix}c&1&0\\1&c&1\\6&1&c\end{vmatrix}$ is

asked Nov 22, 2013 by sreemathi.v

1 answer

A man of mass $80\; kg$ is riding on a small cart of mass $40\; kg$ moving with velocity $2m/s$ . He is running on the cart, so that his velocity relative to the cart is $3 m/s$ in the direction opposite to the motion of the cart. What is the speed of center of mass of the system.

asked Nov 22, 2013 by meena.p

1 answer

If $A=\begin{bmatrix}1&-2\\4&5\end{bmatrix}$ and $f(1)=t^2-3t+7$ then $f(A)+\begin{bmatrix}3&6\\-12&-9\end{bmatrix}$ is equal to

asked Nov 22, 2013 by sreemathi.v

1 answer

Two blocks of masses $m_1=2 kg$ and $ m_2=4kg$ are moving in the same direction with speeds $V_1=6 m/s$ and $V_2=3 m/s$, respectively on a frictional less surface. An ideal spring with spring constant $k= 30000\;n/m$ is attached to the bakside of $m_2.$ Then the maxiimum compression of the spring after collision will be

asked Nov 22, 2013 by meena.p

1 answer

If $A=\begin{bmatrix}1&2&2\\2&1&2\\2&2&1\end{bmatrix}$ then $A^2-4A$ is equal to

asked Nov 22, 2013 by sreemathi.v

1 answer

If one root of the determinant $\begin{vmatrix}x&3&7\\2&x&2\\7&6&x\end{vmatrix}=0$ is $-9$ then the other two roots are

asked Nov 22, 2013 by sreemathi.v

1 answer

Tow blocks $m_1$ and $m_2$ are placed on a smooth horizontal surface and are joined together with a spring of stiffness k. Suddenly, block $m_2$ receives a horizontal velocity $v_0$, then the maximum extension $x$ in the spring is

asked Nov 22, 2013 by meena.p

1 answer

If $\small\begin{vmatrix}a^2&b^2&c^2\\(a+1)^2&(b+1)^2&(c+1)^2\\(a-1)^2&(b-1)^2&(c-1)^2\end{vmatrix}$ = $k\small\begin{vmatrix}a^2&b^2&c^2\\a&b&c\\1&1&1&\end{vmatrix}$ then the value of $k$ is

asked Nov 22, 2013 by sreemathi.v

1 answer

Let $a,b,c$ be any real numbers. Suppose that there are real numbers $x,y,z$ not all zero. Such that $x=cy+bz,y=az+cx,z=bx+ay$. Then $a^2+b^2+2abc$ is equal to

asked Nov 22, 2013 by sreemathi.v

1 answer

If the matrix $A=\begin{bmatrix}y+a&b&c\\a&y+b&c\\a&b&y+c\end{bmatrix}$ has rank 3 then

asked Nov 22, 2013 by sreemathi.v

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If $\begin{bmatrix}2&1\\3&2\end{bmatrix}A\begin{bmatrix}-3&2\\5&-3\end{bmatrix}=\begin{bmatrix}1&0\\0&1\end{bmatrix}$ then the matrix A is equal to

asked Nov 22, 2013 by sreemathi.v

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