A metal weight of mass 15 kg rests on a smooth (that is, slope that makes an angle of 25° with the horizontal. It is attached to a rope that passes over a pulley at the top of the slope. The other end of the rope is attached to a crate of mass 12 kg that rests on a rough horizontal plank but nov is on the point of slipping along the plank. The coefficient of static friction between the crate and the plank is u. W TR (8) metal weight 25° alodisqed sds cratersib ban icy slope pulley lo risu ent lo molt plank UNGH -18-35 +3 + otros sianogob-no otnos toy to todens9108 a obrvosa ban antizaM sulau pince Model the metal weight and the crate as particles, the rope as a model string iba and the pulley as a model pulley. Let g denote the magnitude of the acceleration due to gravity (in ms-2). olgmver Bolsin ( (a) (i) State the three forces that act on the metal weight, and draw a force diagram to represent them, indicating their directions by marking the sizes of appropriate angles. Define the symbols that you use to denote the forces. obrodo talupitisqa of sonensies in Take the Cartesian unit vectors i and j to be parallel to the slope and upwards, and perpendicular to the slope and upwards, og ada respectively. Mark these vectors on your diagram. tada sail ads to no (ii) Express the forces acting on the metal weight in component form, in terms of g and unknown magnitudes where appropriate. Hence find the magnitude of the tension in the rope, as an exact expression in terms of g. b) (i) State the four forces that act on the crate, and draw a force or diagram to represent them, indicating their directions by marking the sizes of appropriate angles. Define the symbols that you use to denote the forces. In this part of the question, take the Cartesian unit vectors i and j to be horizontal in the direction from the pulley towards the crate, and vertically upwards, respectively. Mark these vectors on your diagram. (ii) Express the forces acting on the crate in component form, in terms of g and unknown magnitudes where appropriate. Hence find the value of u to two significant figures. and the nad 50

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A metal weight of mass 15 kg rests on a smooth (that is, frictionless) icy
slope that makes an angle of 25° with the horizontal. It is attached to a rope
that passes over a pulley at the top of the slope. The other end of the rope is
attached to a crate of mass 12 kg that rests on a rough horizontal plank but irov odi
is on the point of slipping along the plank. The coefficient of static friction
between the crate and the plank is μ.
metal weight
25°
anolaups Tisda daiw
alodasqyd sdt crate sib baa inol
aino risa en't lo molisa
planka) inabeup
M
etaduraszoq oda la coulev er no
icy slope
pulley
inson oris
0-8-8-8 + f +vs
otros sistensgeb-non
pinos lo og oft sai
toy, to todensee sobivora bm amizM sulau piuco
Model the metal weight and the crate as particles, the rope as a model string ibal
and the pulley as a model pulley. Let g denote the magnitude of the
acceleration due to gravity (in ms-2).
Moisteos ada obulord nov taifs oua
sizsin OJ
h
(a) (i) State the three forces that act on the metal weight, and draw a
force diagram to represent them, indicating their directions by
marking the sizes of appropriate angles. Define the symbols that
you use to denote the forces.ve otanbrodo talupitisqa of sonensies sitiv
u al be
Take the Cartesian unit vectors i and j to be parallel to the slope
nothizoq ad
and upwards, and perpendicular to the slope and upwards,
respectively. Mark these vectors on your diagram. indi sail to noit
(ii) Express the forces acting on the metal weight in component form, sel
in terms of g and unknown magnitudes where appropriate. Hence
find the magnitude of the tension in the rope, as an exact
expression in terms of g.
01 +38
(b) (i) State the four forces that act on the crate, and draw a forcello aiqin
diagram to represent them, indicating their directions by marking
the sizes of appropriate angles. Define the symbols that you use to
denote the forces.
In this part of the question, take the Cartesian unit vectors i and j
to be horizontal in the direction from the pulley towards the crate,
and vertically upwards, respectively. Mark these vectors on your
diagram.
(ii) Express the forces acting on the crate in component form, in terms
of g and unknown magnitudes where appropriate. Hence find the
priate. Hence find the
value of u to two significant figures.
on ta el badsteik mum
Transcribed Image Text:A metal weight of mass 15 kg rests on a smooth (that is, frictionless) icy slope that makes an angle of 25° with the horizontal. It is attached to a rope that passes over a pulley at the top of the slope. The other end of the rope is attached to a crate of mass 12 kg that rests on a rough horizontal plank but irov odi is on the point of slipping along the plank. The coefficient of static friction between the crate and the plank is μ. metal weight 25° anolaups Tisda daiw alodasqyd sdt crate sib baa inol aino risa en't lo molisa planka) inabeup M etaduraszoq oda la coulev er no icy slope pulley inson oris 0-8-8-8 + f +vs otros sistensgeb-non pinos lo og oft sai toy, to todensee sobivora bm amizM sulau piuco Model the metal weight and the crate as particles, the rope as a model string ibal and the pulley as a model pulley. Let g denote the magnitude of the acceleration due to gravity (in ms-2). Moisteos ada obulord nov taifs oua sizsin OJ h (a) (i) State the three forces that act on the metal weight, and draw a force diagram to represent them, indicating their directions by marking the sizes of appropriate angles. Define the symbols that you use to denote the forces.ve otanbrodo talupitisqa of sonensies sitiv u al be Take the Cartesian unit vectors i and j to be parallel to the slope nothizoq ad and upwards, and perpendicular to the slope and upwards, respectively. Mark these vectors on your diagram. indi sail to noit (ii) Express the forces acting on the metal weight in component form, sel in terms of g and unknown magnitudes where appropriate. Hence find the magnitude of the tension in the rope, as an exact expression in terms of g. 01 +38 (b) (i) State the four forces that act on the crate, and draw a forcello aiqin diagram to represent them, indicating their directions by marking the sizes of appropriate angles. Define the symbols that you use to denote the forces. In this part of the question, take the Cartesian unit vectors i and j to be horizontal in the direction from the pulley towards the crate, and vertically upwards, respectively. Mark these vectors on your diagram. (ii) Express the forces acting on the crate in component form, in terms of g and unknown magnitudes where appropriate. Hence find the priate. Hence find the value of u to two significant figures. on ta el badsteik mum
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