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Question Number 21819 by Tinkutara last updated on 10/Oct/17

Consider the situation shown in figure in which a block P of mass 2 kg is placed over a block Q of mass 4 kg. The combination of the blocks are placed on inclined plane of inclination 37° with horizontal. The coefficient of friction between Block Q and inclined plane is μ_2 and in between the two blocks is μ_1 . The system is released from rest, then when will be the frictional force acting between the block is zero? (p) μ_1 = 0.4; μ_2 = 0 (q) μ_1 = 0.8; μ_2 = 0.8 (r) μ_1 = 0.4; μ_2 = 0.5 (s) μ_1 = 0.5; μ_2 = 0.4 (t) μ_1 = 0; μ_2 = 0.4

$$\mathrm{Consider}\:\mathrm{the}\:\mathrm{situation}\:\mathrm{shown}\:\mathrm{in}\:\mathrm{figure} \\ $$$$\mathrm{in}\:\mathrm{which}\:\mathrm{a}\:\mathrm{block}\:{P}\:\mathrm{of}\:\mathrm{mass}\:\mathrm{2}\:\mathrm{kg}\:\mathrm{is}\:\mathrm{placed} \\ $$$$\mathrm{over}\:\mathrm{a}\:\mathrm{block}\:{Q}\:\mathrm{of}\:\mathrm{mass}\:\mathrm{4}\:\mathrm{kg}.\:\mathrm{The} \\ $$$$\mathrm{combination}\:\mathrm{of}\:\mathrm{the}\:\mathrm{blocks}\:\mathrm{are}\:\mathrm{placed}\:\mathrm{on} \\ $$$$\mathrm{inclined}\:\mathrm{plane}\:\mathrm{of}\:\mathrm{inclination}\:\mathrm{37}°\:\mathrm{with} \\ $$$$\mathrm{horizontal}.\:\mathrm{The}\:\mathrm{coefficient}\:\mathrm{of}\:\mathrm{friction} \\ $$$$\mathrm{between}\:\mathrm{Block}\:{Q}\:\mathrm{and}\:\mathrm{inclined}\:\mathrm{plane}\:\mathrm{is} \\ $$$$\mu_{\mathrm{2}} \:\mathrm{and}\:\mathrm{in}\:\mathrm{between}\:\mathrm{the}\:\mathrm{two}\:\mathrm{blocks}\:\mathrm{is}\:\mu_{\mathrm{1}} . \\ $$$$\mathrm{The}\:\mathrm{system}\:\mathrm{is}\:\mathrm{released}\:\mathrm{from}\:\mathrm{rest},\:\mathrm{then} \\ $$$$\mathrm{when}\:\mathrm{will}\:\mathrm{be}\:\mathrm{the}\:\mathrm{frictional}\:\mathrm{force} \\ $$$$\mathrm{acting}\:\mathrm{between}\:\mathrm{the}\:\mathrm{block}\:\mathrm{is}\:\mathrm{zero}? \\ $$$$\left(\mathrm{p}\right)\:\mu_{\mathrm{1}} \:=\:\mathrm{0}.\mathrm{4};\:\mu_{\mathrm{2}} \:=\:\mathrm{0} \\ $$$$\left(\mathrm{q}\right)\:\mu_{\mathrm{1}} \:=\:\mathrm{0}.\mathrm{8};\:\mu_{\mathrm{2}} \:=\:\mathrm{0}.\mathrm{8} \\ $$$$\left(\mathrm{r}\right)\:\mu_{\mathrm{1}} \:=\:\mathrm{0}.\mathrm{4};\:\mu_{\mathrm{2}} \:=\:\mathrm{0}.\mathrm{5} \\ $$$$\left(\mathrm{s}\right)\:\mu_{\mathrm{1}} \:=\:\mathrm{0}.\mathrm{5};\:\mu_{\mathrm{2}} \:=\:\mathrm{0}.\mathrm{4} \\ $$$$\left(\mathrm{t}\right)\:\mu_{\mathrm{1}} \:=\:\mathrm{0};\:\mu_{\mathrm{2}} \:=\:\mathrm{0}.\mathrm{4} \\ $$

Commented by Tinkutara last updated on 04/Oct/17

Commented by math solver last updated on 05/Oct/17

is it multi correct matrix?

$${is}\:{it}\:{multi}\:{correct}\:{matrix}? \\ $$

Commented by Tinkutara last updated on 05/Oct/17

Yes.

$$\mathrm{Yes}. \\ $$

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