For the block shown, F₁ is the minimum force required to move block upwards and F₂ is the minimum force required to prevent it from slipping, find $| {\vec{F}}_{1} - {\vec{F}}_{2} |$

Option 1 -

50 $\sqrt[]{3}$ N

Option 2 -

5 $\sqrt[]{3}$ N

Option 3 -

25 $\sqrt[]{3}$ N

Option 4 -

$\frac{5 \sqrt[]{3}}{2}$ N

3 Views | Posted 3 months ago

Asked by Shiksha User

1 Answer

Answered by

alok kumar singh | Contributor-Level 10

3 months ago

Correct Option - 2

Detailed Solution:

f_K = μmg cosq

= 0.1 × $\frac{50 \times \sqrt[]{3}}{2}$

$= 2.5 \sqrt[]{3} N$

F₁= mg sinq + f_K

= 25 + 2.5 $\sqrt[]{3}$

F₂= mg sinq – f_K

= 25 – 2.5

F₁ – F₂ = 5 $\sqrt[]{3}$ N

fK = μmg cosq= 0.1 × <math> <mrow> <mfrac> <mrow> <mn>5</mn> <mn>0</mn> <mo>×</mo> <mroot> <mrow> <mn>3</mn> </mrow> <mrow></mrow> </mroot> </mrow> <mrow> <mn>2</mn> </mrow> </mfrac> </mrow> </math> <!- [if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1025" DrawAspect="Content" ObjectID="_1820306438"> </o:OLEObject></xml><! [endif]-> <math> <mrow> <mo>=</mo> <mn>2</mn> <mo>.</mo> <mn>5</mn> <mroot> <mrow> <mn>3</mn> </mrow> <mrow></mrow> </mroot> <mtext> </mtext> <mi>N</mi> </mrow> </math>  F1    = mg sinq + fK= 25 + 2.5 <math> <mrow> <mroot> <mrow> <mn>3</mn> </mrow> <mrow></mrow> </mroot> </mrow> </math>  <!- [if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1027" DrawAspect="Content" ObjectID="_1820306440"> </o:OLEObject></xml><! [endif]->F2    = mg sinq – fK= 25 – 2.5 <!- [if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1028" DrawAspect="Content" ObjectID="_1820306441"> </o:OLEObject></xml><! [endif]->F1 – F2 = 5 <math> <mrow> <mroot> <mrow> <mn>3</mn> </mrow> <mrow></mrow> </mroot> </mrow> </math> <!- [if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1029" DrawAspect="Content" ObjectID="_1820306442"> </o:OLEObject></xml><! [endif]-> N

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For the block shown, F₁ is the minimum force required to move block upwards and F₂ is the minimum force required to prevent it from slipping, find $| {\vec{F}}_{1} - {\vec{F}}_{2} |$

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For the block shown, F1 is the minimum force required to move block upwards and F2 is the minimum force required to prevent it from slipping, find | F → 1 − F → 2 |

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For the block shown, F₁ is the minimum force required to move block upwards and F₂ is the minimum force required to prevent it from slipping, find $| {\vec{F}}_{1} - {\vec{F}}_{2} |$