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Physics-

General

Easy

Question

In the figure, a man of true mass M is standing on a weighing machine placed in a cabin. The cabin is joined by a string with a body of mass m. Assuming no friction, and negligible mass of cabin and weighing machine, the measured mass of man is (normal force between the man and the machine is proportional to the mass)

measured mass of man is $\frac{M m}{(M + m)}$
acceleration of man is $\frac{m g}{(M + m)}$
acceleration of man is $\frac{M g}{(M + m)}$
measured mass of man is M.

The correct answer is: measured mass of man is $fraction numerator M m over denominator left parenthesis M plus m right parenthesis end fraction$

Related Questions to study

In the figure small block is kept on m then

In the figure small block is kept on m then

Physics-General

In a sequence of (4n + 1) terms the first (2n + 1) terms are in AP whose common difference is 2 and the last (2n + 1) terms are in GP whose common ratio is 0.5. If the middle terms of the AP and GP are equal then the middle term of the sequence is

In a sequence of (4n + 1) terms the first (2n + 1) terms are in AP whose common difference is 2 and the last (2n + 1) terms are in GP whose common ratio is 0.5. If the middle terms of the AP and GP are equal then the middle term of the sequence is

If $x subscript i end subscript greater than 0 comma i equals 1 , 2 comma horizontal ellipsis comma 50$ and $x subscript 1 end subscript plus x subscript 2 end subscript plus midline horizontal ellipsis plus x subscript 50 end subscript equals 50$ , then the minimum value of $fraction numerator 1 over denominator x subscript 1 end subscript end fraction plus fraction numerator 1 over denominator x subscript 2 end subscript end fraction plus midline horizontal ellipsis plus fraction numerator 1 over denominator x subscript 50 end subscript end fraction$ equals

If $x subscript i end subscript greater than 0 comma i equals 1 , 2 comma horizontal ellipsis comma 50$ and $x subscript 1 end subscript plus x subscript 2 end subscript plus midline horizontal ellipsis plus x subscript 50 end subscript equals 50$ , then the minimum value of $fraction numerator 1 over denominator x subscript 1 end subscript end fraction plus fraction numerator 1 over denominator x subscript 2 end subscript end fraction plus midline horizontal ellipsis plus fraction numerator 1 over denominator x subscript 50 end subscript end fraction$ equals

parallel

If $fraction numerator 3 plus 5 plus 7 plus midline horizontal ellipsis plus n text terms end text over denominator 5 plus 8 plus 11 plus midline horizontal ellipsis plus 10 text terms end text end fraction equals 7$ , then the value of $n$ is

If $fraction numerator 3 plus 5 plus 7 plus midline horizontal ellipsis plus n text terms end text over denominator 5 plus 8 plus 11 plus midline horizontal ellipsis plus 10 text terms end text end fraction equals 7$ , then the value of $n$ is

If $t subscript r end subscript equals fraction numerator r plus 2 over denominator r left parenthesis r plus 1 right parenthesis end fraction cross times fraction numerator 1 over denominator 2 to the power of r plus 1 end exponent end fraction$ , then $sum subscript r equals 1 end subscript superscript n end superscript t subscript r end subscript$ is equal to

If $t subscript r end subscript equals fraction numerator r plus 2 over denominator r left parenthesis r plus 1 right parenthesis end fraction cross times fraction numerator 1 over denominator 2 to the power of r plus 1 end exponent end fraction$ , then $sum subscript r equals 1 end subscript superscript n end superscript t subscript r end subscript$ is equal to

The sum of $fraction numerator 1 over denominator 2 end fraction plus fraction numerator 1 over denominator 3 times 2 to the power of 3 end exponent end fraction plus fraction numerator 1 over denominator 5 times 2 to the power of 5 end exponent end fraction plus midline horizontal ellipsis infinity$ is

The sum of $fraction numerator 1 over denominator 2 end fraction plus fraction numerator 1 over denominator 3 times 2 to the power of 3 end exponent end fraction plus fraction numerator 1 over denominator 5 times 2 to the power of 5 end exponent end fraction plus midline horizontal ellipsis infinity$ is

parallel

$1 plus fraction numerator 1 plus 2 over denominator 2 factorial end fraction plus fraction numerator 1 plus 2 plus 3 over denominator 3 factorial end fraction plus fraction numerator 1 plus 2 plus 3 plus 4 over denominator 4 factorial end fraction plus midline horizontal ellipsis infinity equals$

$1 plus fraction numerator 1 plus 2 over denominator 2 factorial end fraction plus fraction numerator 1 plus 2 plus 3 over denominator 3 factorial end fraction plus fraction numerator 1 plus 2 plus 3 plus 4 over denominator 4 factorial end fraction plus midline horizontal ellipsis infinity equals$

The sum of the series $1 times 3 to the power of 2 end exponent plus 2 times 5 to the power of 2 end exponent plus 3 times 7 to the power of 2 end exponent plus midline horizontal ellipsis$ up to 20 terms is

The sum of the series $1 times 3 to the power of 2 end exponent plus 2 times 5 to the power of 2 end exponent plus 3 times 7 to the power of 2 end exponent plus midline horizontal ellipsis$ up to 20 terms is

$text If the end text left parenthesis m plus 1 right parenthesis to the power of text th end text end exponent comma left parenthesis n plus 1 right parenthesis to the power of text th end text end exponent text and end text left parenthesis r plus 1 right parenthesis to the power of text th end text end exponent text terms of an AP are in GP end text$ and m, n, r are in HP, then the value of the ratio of the common difference to the first term of the AP is

$text If the end text left parenthesis m plus 1 right parenthesis to the power of text th end text end exponent comma left parenthesis n plus 1 right parenthesis to the power of text th end text end exponent text and end text left parenthesis r plus 1 right parenthesis to the power of text th end text end exponent text terms of an AP are in GP end text$ and m, n, r are in HP, then the value of the ratio of the common difference to the first term of the AP is

parallel

If the harmonic mean between a and b is H, then $fraction numerator H plus a over denominator H minus a end fraction plus fraction numerator H plus b over denominator H minus b end fraction equals$

If the harmonic mean between a and b is H, then $fraction numerator H plus a over denominator H minus a end fraction plus fraction numerator H plus b over denominator H minus b end fraction equals$

If $fraction numerator a to the power of n plus 1 end exponent plus b to the power of n plus 1 end exponent over denominator a to the power of n end exponent plus b to the power of n end exponent end fraction$ is the harmonic mean between $a$ and $b$ , then the value of $n$ is

If $fraction numerator a to the power of n plus 1 end exponent plus b to the power of n plus 1 end exponent over denominator a to the power of n end exponent plus b to the power of n end exponent end fraction$ is the harmonic mean between $a$ and $b$ , then the value of $n$ is

If a ,b, c are three distinct positive real numbers which are in $text HP, then end text fraction numerator 3 a plus 2 b over denominator 2 a minus b end fraction plus fraction numerator 3 c plus 2 b over denominator 2 c minus b end fraction text is end text$

If a ,b, c are three distinct positive real numbers which are in $text HP, then end text fraction numerator 3 a plus 2 b over denominator 2 a minus b end fraction plus fraction numerator 3 c plus 2 b over denominator 2 c minus b end fraction text is end text$

parallel

If the $m to the power of text th end text end exponent$ term of an $H P$ is $n$ and $n to the power of text th end text end exponent$ is $m$ , then the $r to the power of text th end text end exponent$ term will be

If the $m to the power of text th end text end exponent$ term of an $H P$ is $n$ and $n to the power of text th end text end exponent$ is $m$ , then the $r to the power of text th end text end exponent$ term will be

If $left parenthesis a plus 2 b plus 2 c right parenthesis left parenthesis a minus 2 b plus 2 c right parenthesis equals a to the power of 2 end exponent plus 4 c to the power of 2 end exponent text , end text$ where a ,b, c are nonzero numbers. Then a ,b,c are in

If $left parenthesis a plus 2 b plus 2 c right parenthesis left parenthesis a minus 2 b plus 2 c right parenthesis equals a to the power of 2 end exponent plus 4 c to the power of 2 end exponent text , end text$ where a ,b, c are nonzero numbers. Then a ,b,c are in

The sum of infinite terms of a GP is x and on squaring the each term of it, the sum will be y. Then the common ratio of this series is

The sum of infinite terms of a GP is x and on squaring the each term of it, the sum will be y. Then the common ratio of this series is

parallel

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