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M1KINEMATICS

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January 2014 - Question 1

A truck P of mass 2M is moving with speed U on smohorizontal rails !t collides directly with another truck Qwhich is moving with speed 4U in the opposite direction orails #he trucks $oin so that immediately after the collisiontogether %y modelling the trucks as particles& 'nd)a* the speed of the trucks immediately after the collisio

)b* the magnitude of the impulse e+erted on P ,y Q in th

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January 2014 - Question

A racing car is moving along a straight horizontal track with constant acc

are three checkpoints,P, Q andR, on the track, wherePQ = 48 m and QR =

takes 3 s to travel fromP to Q and s to travel from Q toR. !ind

"i# the acceleration of the car,

"ii# the speed of the car as it passesP.

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January 2014 - Question .

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M1DYNAMICS

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M1MOMENTS

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January 2014 - Question "

A ,eamAB has length 1 m and mass 2 kg #he ,eam is ssupported at the point P& whereAP / . m A man of mass 1stands on the ,eam at a distance of 2 m fromA and anothe

stands on the ,eam at a distance of 1 m from B #he ,eammodelled as a non-uniform rod and the men are modelled particles #he ,eam is in euili,rium in a horizontal positionreaction on the ,eam at P having magnitude 200

3ind the distance of the centre of mass of the ,eam fromA

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M1 STATICS

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January 2014 - Question

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January 2014 - Question 4

ed rough plane is inclined to the horizontal at an angle & wher

.

A small ,o+ of mass m is at rest on the plane A force of magwhere k is a constant& is applied to the ,o+ #he line of aforce is at angle to the line of greatest slope of the plane,o+& as shown in 3igure 1& and lies in the same vertical planof greatest slope #he coe5cient of friction ,etween the plane is #he ,o+ is on the point of slipping up the plane %

the ,o+ as a particle& 'nd k in terms of

Figure 1

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M1ECTO!S

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January 2014 - Question 2

A particle P is moving with constant velocity )2i 6 ""* m s61)a* 3ind the speed of P

#he particle P passes through the pointA and 4 seconds latthrough the point with position vector )i 6 4"* m)b* 3ind the position vector ofA

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A force F is given $% F = "&i ' (3j# ).

"a#!ind the size of the angle $etween the direction of F and the vectorj.

The force F is the res*ltant of two forces P and Q. The line of action of P is parallel to the vector

action of Q is parallel to the vector "i ' 3j#.

"b#!ind, in terms ofi

andj

,

"i# the force P,

"ii# the force Q.

January 2014 - Question 7