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Category: Mechanics

Two-concurrent-forces-F-1-12N-and-F-2-30N-are-150-apart-Calculate-the-angle-between-F-2-and-the-resultant-force-

Question Number 147149 by nadovic last updated on 18/Jul/21 $$\:\mathrm{Two}\:\mathrm{concurrent}\:\mathrm{forces}\:\boldsymbol{{F}}_{\mathrm{1}} \:=\:\mathrm{12N}\:\mathrm{and} \\ $$$$\:\boldsymbol{{F}}_{\mathrm{2}} \:=\:\mathrm{30N}\:\mathrm{are}\:\mathrm{150}°\:\mathrm{apart}.\:\mathrm{Calculate}\: \\ $$$$\:\mathrm{the}\:\mathrm{angle}\:\mathrm{between}\:\boldsymbol{{F}}_{\mathrm{2}} \:\mathrm{and}\:\mathrm{the}\:\mathrm{resultant} \\ $$$$\:\mathrm{force}. \\ $$ Answered by Olaf_Thorendsen last…

One-end-of-an-inextensible-string-is-fixed-to-a-ceiling-and-the-other-end-is-tied-to-a-wooden-block-The-block-is-pulled-aside-by-a-horizontal-force-P-such-that-the-string-now-makes-an-angle-of

Question Number 147147 by nadovic last updated on 18/Jul/21 $$\:\mathrm{One}\:\mathrm{end}\:\mathrm{of}\:\mathrm{an}\:\mathrm{inextensible}\:\mathrm{string}\:\mathrm{is} \\ $$$$\:\mathrm{fixed}\:\mathrm{to}\:\mathrm{a}\:\mathrm{ceiling}\:\mathrm{and}\:\mathrm{the}\:\mathrm{other}\:\mathrm{end}\:\mathrm{is} \\ $$$$\:\mathrm{tied}\:\mathrm{to}\:\mathrm{a}\:\mathrm{wooden}\:\mathrm{block}.\:\mathrm{The}\:\mathrm{block}\:\mathrm{is} \\ $$$$\:\mathrm{pulled}\:\mathrm{aside}\:\mathrm{by}\:\mathrm{a}\:\mathrm{horizontal}\:\mathrm{force}\:\boldsymbol{{P}}, \\ $$$$\:\mathrm{such}\:\mathrm{that}\:\mathrm{the}\:\mathrm{string}\:\mathrm{now}\:\mathrm{makes}\:\mathrm{an} \\ $$$$\:\mathrm{angle}\:\mathrm{of}\:\mathrm{45}°\:\mathrm{with}\:\mathrm{the}\:\mathrm{downward}\: \\ $$$$\:\mathrm{vertical}.\:\mathrm{When}\:\mathrm{the}\:\mathrm{force}\:\boldsymbol{{P}}\:\:\mathrm{is}\:\mathrm{raised} \\ $$$$\:\mathrm{through}\:\mathrm{an}\:\mathrm{angle}\:\mathrm{of}\:\mathrm{30}°,\:\mathrm{it}\:\mathrm{decreases}\:\mathrm{by} \\…

Question-81011

Question Number 81011 by mr W last updated on 08/Feb/20 Commented by mr W last updated on 08/Feb/20 $${A}\:{ball}\:{with}\:{mass}\:{m}\:{and}\:{radius}\:{r}\:{falls} \\ $$$${from}\:{a}\:{height}\:{of}\:{h}\:{and}\:{hits}\:{two}\:{wedges} \\ $$$${with}\:{mass}\:{M}\:{for}\:{each}\:{as}\:{shown}. \\ $$$${If}\:{the}\:{coefficient}\:{of}\:{restitution}\:{is}\:{e}…

Question-80885

Question Number 80885 by ajfour last updated on 07/Feb/20 Commented by ajfour last updated on 07/Feb/20 $${cylinder}\:{against}\:{a}\:{wall}\:{and}\:{an} \\ $$$${incline}.\:{Find}\:{acceleration}\:\left(\rightarrow\right) \\ $$$${of}\:{the}\:{system}\:{such}\:{that}\:{both} \\ $$$$\:{normal}\:{reactions}\:{are}\:{equal}. \\ $$…

Question-146303

Question Number 146303 by ajfour last updated on 12/Jul/21 Commented by ajfour last updated on 12/Jul/21 $${If}\:{released}\:{as}\:{shown},\:{and} \\ $$$${assuming}\:{no}\:{friction},\:{find} \\ $$$${after}\:{what}\:{time}\:{does}\:{the}\: \\ $$$${upper}\:{ball}\:{hit}\:{the}\:{ground}? \\ $$…

Question-80648

Question Number 80648 by mr W last updated on 05/Feb/20 Commented by mr W last updated on 05/Feb/20 $${three}\:{thin}−{wall}\:{tubes}\:{with}\:{identical} \\ $$$${size}\:{and}\:{mass}\:{are}\:{released}\:{from}\:{the} \\ $$$${state}\:{as}\:{shown}. \\ $$$${find}\:{the}\:{time}\:{which}\:{the}\:{upper}\:{tube}…

Question-145751

Question Number 145751 by ajfour last updated on 07/Jul/21 Commented by ajfour last updated on 07/Jul/21 $${Find}\:{the}\:{minimum}\:{energy}\:{that} \\ $$$${need}\:{be}\:{expended}\:{by}\:{pulling} \\ $$$${on}\:{one}\:{of}\:{the}\:{carpets}\:{with} \\ $$$${a}\:{force}\:\left({may}\:{vary}\right)\:{in}\:{the} \\ $$$${shown}\:{direction}\:{to}\:{detach}…

Question-80057

Question Number 80057 by ajfour last updated on 30/Jan/20 Commented by ajfour last updated on 30/Jan/20 $${If}\:{released}\:{as}\:{shown}\:{in}\:{upper} \\ $$$${diagram},\:{after}\:{what}\:{time}\:{does} \\ $$$${the}\:{upper}\:{sphere}\:{loose}\:{contact}, \\ $$$${with}\:{the}\:{lower}\:{ones}? \\ $$…