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Hey people, could you pls help me out with these two questions from the M1 book, review exercise 2? Thanks!

3)A particle P of mass 7m is placed on a rough horizontal table, the coefficient of friction between P and the table being m. A force of magnitude 2mg, acting upwards at an acute angle a to the horizontal, is applied to P and equilibrium is on the point of being broken by the particle sliding on the table. Given that tan a = 5/12, find the value of m.

4)A book is placed on a desk lid which is slowly tilted. Given that the book begins to slide when the inclination of the lid to the horizontal is 30 degrees, find the coefficient of friction between the book and the desk lid. State an assumption you have made about the book when forming the mathematical model you used to solve part a.

3)A particle P of mass 7m is placed on a rough horizontal table, the coefficient of friction between P and the table being m. A force of magnitude 2mg, acting upwards at an acute angle a to the horizontal, is applied to P and equilibrium is on the point of being broken by the particle sliding on the table. Given that tan a = 5/12, find the value of m.

4)A book is placed on a desk lid which is slowly tilted. Given that the book begins to slide when the inclination of the lid to the horizontal is 30 degrees, find the coefficient of friction between the book and the desk lid. State an assumption you have made about the book when forming the mathematical model you used to solve part a.

)A book is placed on a desk lid which is slowly tilted. Given that the book begins to slide when the inclination of the lid to the horizontal is 30 degrees, find the coefficient of friction between the book and the desk lid. State an assumption you have made about the book when forming the mathematical model you used to solve part a.

R=mgcos*

F=mgsin*

F=uR

massimo

R=mgcos*

F=mgsin*

F=uR

F=mgsin*

F=uR

Thanks, but im kinda confused?

4)A book is placed on a desk lid which is slowly tilted. Given that the book begins to slide when the inclination of the lid to the horizontal is 30 degrees, find the coefficient of friction between the book and the desk lid. State an assumption you have made about the book when forming the mathematical model you used to solve part a.

you do this by doing 9.8mSin30 this will give you F

so F=9.8mSin30 which is 4.9m (sin30=0.5)

then R is the perpendicular force of the book on the plane hence

R=9.8mCos30 so we have two equations

4.9m=9.8mCos30 m's cancel out

4.9=u(9.8Cos30)

so coeffeienct of friction is 4.9/(9.8cos30)

)A particle P of mass 7m is placed on a rough horizontal table, the coefficient of friction between P and the table being m. A force of magnitude 2mg, acting upwards at an acute angle a to the horizontal, is applied to P and equilibrium is on the point of being broken by the particle sliding on the table. Given that tan a = 5/12, find the value of m

p=2mgcos(angel)-F=0

R=7m-2mgsin(angel) (multiplied by the co effient of friction which is m) and F=R

anyway let me know how it goes and dont forget the postive rep thanks

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