Question Number 23531 by ajfour last updated on 01/Nov/17 Commented by ajfour last updated on 01/Nov/17 $${If}\:{the}\:{system}\:{consisting}\:{of}\:{a} \\ $$$${ring}\:{of}\:{radius}\:\boldsymbol{{R}},\:{mass}\:\boldsymbol{{M}},\:{mounted} \\ $$$${on}\:{a}\:{horizontal}\:{axis}\:{with}\:{a}\:{disc} \\ $$$${of}\:{radius}\:\boldsymbol{{r}},\:{mass}\:\boldsymbol{{m}}\:{connected}\: \\ $$$${as}\:{shown},\:{through}\:{a}\:{rod}\:{of}\:{mass}\:{m}_{\mathrm{0}}…
Question Number 89063 by talminator2856791 last updated on 15/Apr/20 $$\:\mathrm{let}\:{f}\left({x}\right)\:=\:{x}^{\mathrm{3}} \:+\:\mathrm{2}{x}^{\mathrm{2}} \:+\:\mathrm{3}{x}\:+\:\mathrm{4} \\ $$$$\:\mathrm{find}\:\mathrm{the}\:\mathrm{region}\:\mathrm{enclosed}\:\mathrm{by}\:{f}\:',\:{f}\:''\:\mathrm{and}\:{f}\:''' \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 23520 by Tinkutara last updated on 01/Nov/17 $$\mathrm{A}\:\mathrm{wooden}\:\mathrm{block}\:\mathrm{of}\:\mathrm{mass}\:\mathrm{10}\:\mathrm{gm}\:\mathrm{is} \\ $$$$\mathrm{dropped}\:\mathrm{from}\:\mathrm{the}\:\mathrm{top}\:\mathrm{of}\:\mathrm{a}\:\mathrm{tower}\:\mathrm{100}\:\mathrm{m} \\ $$$$\mathrm{high}.\:\mathrm{Simultaneously},\:\mathrm{a}\:\mathrm{bullet}\:\mathrm{of}\:\mathrm{mass} \\ $$$$\mathrm{10}\:\mathrm{gm}\:\mathrm{is}\:\mathrm{fired}\:\mathrm{from}\:\mathrm{the}\:\mathrm{foot}\:\mathrm{of}\:\mathrm{the}\:\mathrm{tower} \\ $$$$\mathrm{vertically}\:\mathrm{upwards}\:\mathrm{with}\:\mathrm{a}\:\mathrm{velocity}\:\mathrm{of} \\ $$$$\mathrm{100}\:\mathrm{m}/\mathrm{sec}.\:\mathrm{If}\:\mathrm{the}\:\mathrm{bullet}\:\mathrm{is}\:\mathrm{embedded}\:\mathrm{in} \\ $$$$\mathrm{it},\:\mathrm{how}\:\mathrm{high}\:\mathrm{will}\:\mathrm{it}\:\mathrm{rise}\:\mathrm{above}\:\mathrm{the}\:\mathrm{tower} \\ $$$$\mathrm{before}\:\mathrm{it}\:\mathrm{starts}\:\mathrm{falling}?\:\left(\mathrm{Consider}\:{g}\:=\right. \\…
Question Number 89038 by M±th+et£s last updated on 14/Apr/20 $${solve} \\ $$$${log}_{{x}} \left({x}−\mathrm{3}\right)={log}_{{x}} \left(\mathrm{5}−{x}\right) \\ $$ Answered by mahdi last updated on 14/Apr/20 $$\Rightarrow\mathrm{x}−\mathrm{3}=\mathrm{5}−\mathrm{x}\Rightarrow\mathrm{x}=\mathrm{4} \\…
Question Number 23492 by ajfour last updated on 31/Oct/17 Commented by ajfour last updated on 31/Oct/17 $$\:\:\:\:\:\:\:{Find}\:{the}\:{period}\:{of}\:{small}\: \\ $$$$\:\:\:\:\:{oscillations}\:{of}\:{the}\:{disc},\:{if} \\ $$$$\:\:\:\:\:\:{springs}\:{are}\:{attached}\:{at}\:{a}\: \\ $$$$\:\:\:\:\:\:\:\:{distance}\:{of}\:\boldsymbol{{a}}\:{from}\:{the} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:{frictionless}\:{hinge}.…
Question Number 23489 by Tinkutara last updated on 31/Oct/17 $$\mathrm{A}\:\mathrm{rectangular}\:\mathrm{wire}\:\mathrm{frame}\:{ABCD}\:\mathrm{is}\:\mathrm{in} \\ $$$$\mathrm{vertical}\:\mathrm{plane}\:\mathrm{is}\:\mathrm{moving}\:\mathrm{with}\:\mathrm{a}\:\mathrm{constant} \\ $$$$\mathrm{acceleration}\:{a}\:\mathrm{into}\:\mathrm{the}\:\mathrm{plane}.\:\mathrm{Direction} \\ $$$$\mathrm{of}\:\mathrm{gravity}\:\mathrm{is}\:\mathrm{shown}\:\mathrm{in}\:\mathrm{figure}.\:\mathrm{A}\:\mathrm{collar} \\ $$$$\mathrm{can}\:\mathrm{move}\:\mathrm{on}\:\mathrm{wire}\:{AC}\:\mathrm{of}\:\mathrm{length}\:{l}. \\ $$$$\mathrm{Coefficient}\:\mathrm{of}\:\mathrm{friction}\:\mathrm{between}\:\mathrm{wire} \\ $$$$\mathrm{and}\:\mathrm{collar}\:\mathrm{is}\:\mu.\:\mathrm{Find} \\ $$$$\left(\mathrm{i}\right)\:\mathrm{The}\:\mathrm{minimum}\:\mathrm{acceleration}\:{a}\:\mathrm{so}\:\mathrm{that} \\…
Question Number 23488 by lakshmikarreddyavulla56@gmail. last updated on 31/Oct/17 $${area}\:{of}\:{a}\left(\mathrm{1}−\mathrm{cos}\:\theta\right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 23481 by Tinkutara last updated on 31/Oct/17 $$\mathrm{Which}\:\mathrm{of}\:\mathrm{the}\:\mathrm{diagrams}\:\mathrm{represents} \\ $$$$\mathrm{variation}\:\mathrm{of}\:\mathrm{total}\:\mathrm{mechanical}\:\mathrm{energy}\:\mathrm{of} \\ $$$$\mathrm{a}\:\mathrm{pendulum}\:\mathrm{oscillating}\:\mathrm{in}\:\mathrm{air}\:\mathrm{as}\:\mathrm{function} \\ $$$$\mathrm{of}\:\mathrm{time}? \\ $$ Commented by Tinkutara last updated on 01/Nov/17…
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Question Number 23472 by ajfour last updated on 31/Oct/17 Commented by ajfour last updated on 31/Oct/17 $${Q}.\mathrm{23390}\:\left({continued}..\right) \\ $$ Answered by ajfour last updated on…