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Question-227903




Question Number 227903 by mr W last updated on 26/Feb/26
Commented by mr W last updated on 27/Feb/26
Commented by mr W last updated on 27/Feb/26
G_R =weight of rod (position unchanged)  G_B =weight of ironp ball (position unchanged)  G_T =weight of  tank (position unchanged)  G_w =weight of water (position changed)
$${G}_{{R}} ={weight}\:{of}\:{rod}\:\left({position}\:{unchanged}\right) \\ $$$${G}_{{B}} ={weight}\:{of}\:{ironp}\:{ball}\:\left({position}\:{unchanged}\right) \\ $$$${G}_{{T}} ={weight}\:{of}\:\:{tank}\:\left({position}\:{unchanged}\right) \\ $$$${G}_{{w}} ={weight}\:{of}\:{water}\:\left({position}\:{changed}\right) \\ $$
Commented by mr W last updated on 27/Feb/26
the sum of forces in both supports   together is the sum of the weights  from the tank, water, bar and the  ball. since the total weight from  them is not changed, so    N_1 +N_2  must be constant, so  C can not be true.
$${the}\:{sum}\:{of}\:{forces}\:{in}\:{both}\:{supports}\: \\ $$$${together}\:{is}\:{the}\:{sum}\:{of}\:{the}\:{weights} \\ $$$${from}\:{the}\:{tank},\:{water},\:{bar}\:{and}\:{the} \\ $$$${ball}.\:{since}\:{the}\:{total}\:{weight}\:{from} \\ $$$${them}\:{is}\:{not}\:{changed},\:{so}\:\: \\ $$$${N}_{\mathrm{1}} +{N}_{\mathrm{2}} \:{must}\:{be}\:{constant},\:{so} \\ $$$${C}\:{can}\:{not}\:{be}\:{true}. \\ $$
Commented by mr W last updated on 27/Feb/26
when the ball becomes immersed in  water, the COM from the water   moves a little bit in direction to N_1 .  therefore N_1  will increase and N_2   will decrease. ⇒Answer A is true.
$${when}\:{the}\:{ball}\:{becomes}\:{immersed}\:{in} \\ $$$${water},\:{the}\:{COM}\:{from}\:{the}\:{water}\: \\ $$$${moves}\:{a}\:{little}\:{bit}\:{in}\:{direction}\:{to}\:{N}_{\mathrm{1}} . \\ $$$${therefore}\:{N}_{\mathrm{1}} \:{will}\:{increase}\:{and}\:{N}_{\mathrm{2}} \\ $$$${will}\:{decrease}.\:\Rightarrow{Answer}\:{A}\:{is}\:{true}. \\ $$
Commented by fantastic2 last updated on 27/Feb/26
i say C
$${i}\:{say}\:{C} \\ $$
Commented by mahdipoor last updated on 26/Feb/26
i sey A. :  As the iron ball sinks its weight which  is more on the right (N_2 >N_1 ), is distriuted equally  between supports.
$$\mathrm{i}\:\mathrm{sey}\:\mathrm{A}.\:: \\ $$$$\mathrm{As}\:\mathrm{the}\:\mathrm{iron}\:\mathrm{ball}\:\mathrm{sinks}\:\mathrm{its}\:\mathrm{weight}\:\mathrm{which} \\ $$$$\mathrm{is}\:\mathrm{more}\:\mathrm{on}\:\mathrm{the}\:\mathrm{right}\:\left(\mathrm{N}_{\mathrm{2}} >\mathrm{N}_{\mathrm{1}} \right),\:\mathrm{is}\:\mathrm{distriuted}\:\mathrm{equally} \\ $$$$\mathrm{between}\:\mathrm{supports}. \\ $$

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