The kilogram, metre and second are all SI base units. A uniform beam AB of length 6.0m is placed on a horizontal surface and then tilted at an angle of 31° to the horizontal, as shown in Fig. 2.1. [Figure 2.1] The beam is held in equilibrium by four forces that all act in the same plane. A force of 90N acts perpendicular to the beam at end A. The weight W of the beam acts at its centre of gravity. A vertical force Y and a horizontal force X both act at end B of the beam.
- (a)State two other SI base units. 1. 2.[2]
- (b)(i)State the name of force Х.[1]
- (b)(ii)By taking moments about end B, calculate the weight W of the beam. W= N[2]
- (b)(iii)Determine the magnitude of force X. magnitude of force X = N[1]
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Mark scheme
Marking points from the official mark scheme (Oct/Nov 2018). The mark or mark type is shown in brackets.
- [B2] ampere
- [B2] kelvin
- [B2] (allow mole, candela)
- [B2] any two correct answers, 1 mark each
- [B1] frictional (force)/friction
- [C1] Wcos 31° x 3.0 or 90 × 6.0
- [C1] Wcos 31° x 3.0 = 90 × 6.0
- [A1] W = 210N
- [A1] X = 90 sin 31°
- [A1] = 46 N
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