- Submitted By: Kyle-Krisk
- Date Submitted: 05/12/2015 5:10 AM
- Category: Science
- Words: 1182
- Page: 5

5

Set

5

Problem Solution

1

m N – is a product of two units, metres and force. mN – is milliNewtons

2

Torque = force ! perpendicular distance

Torque = 160 N ! 0.75 m

Torque = 120 N m

88

3

= perpendicular

=

= 220 N

0 .4

4

5

6a

6b

7

8a

In a bus or truck more turning force (torque) is needed to turn the wheels. The same force

on a larger steering wheel will provide a greater torque than the same force on a smaller

steering wheel. Racing cars have a smaller steering wheel, a smaller movement of the

steering wheel causes a greater amount of turning in the car, but a larger force is needed.

Leaning forward ensures that the centre of mass of hiker + backpack is over the feet.

Otherwise the pack may cause the hiker to fall backwards.

Amanda’s torque about pivot = 24 kg ! 9.8 N kg-1 ! 2.5 m = 590 N m

Father’s torque about pivot point = 60 kg ! 9.8 N kg-1 ! 1.6 m = 940 N m

Combined torque of Ben & Amanda = 940 N m

Torque of B & A = 590 N m + (WB! 2.0 m)

Torque B = 940 N m – 590 N m = 350 N m

350 N m /2.0 m = 175 N (Ben’s weight)

175 N / 9.8 N kg-1 = 18 kg

With a smaller radius the distance from the axle to the road is reduced and a greater force

is transferred to the road. Greater acceleration is achieved but a lower top speed.

Use shoulder as pivot point

450 ! 10-3 m ! F =120! 10-3 m ! 36 kg ! 9.8 N kg-1

F = 94 N

120mm

Hand

Shoulder

36kg ! 9.8 N kg-1

8b

9

Use centre of mass of pipe as pivot point

C.W.M. = A.C.W.M.

120 ! 10-3 m ! F = 94 N ! 570 ! 10-3 m

F = 447 N

Use chair leg nearest the person as pivot point, chair will tip when turning force of person

is greater than turning force due to weight of chair.

Fperson ! 0.3 m = 25 kg ! 9.8 N kg-1 ! 0.55 N

Fperson = 450 N

Therefore maximum mass of person is 46 kg

1.9m

400mm

100mm

400mm

Leg

Weight

Bench

Leg

Weight

Person

10a

If platform is not moving then net force is 0 N.

Upwards force = Downwards force

320N + 590 N = 280 N + John...

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