A solid metal cube with an edge length of 20 mm is placed on a very smooth flat table. A mass of 100 kg is balanced on top of it (i) Ignoring the self-weight of the cube, calculate the stress acting on it. Assume g = 9.81 m/s2. (ii) If the Young’s modulus of the cube material is 100 GPa, and assuming negligible friction between the cube and the table, calculate the resulting decrease in height of the cube.

m=lookg 20mmy I cube 120mm Area of Cube (20 x103) = 4810 m2 lieight of Cube = 100X9.84 980N stress acting on lube, a = - = 9 480 X 20 XICS 2.45 XlObx loox109 Gi) E = 100 Gila sla estos Resulting decrease in height, st = 8 x1617 m » slo 8x1014 mm
A solid metal cube with an edge length of 20 mm is placed on a very...
Q7. A metal cube is constructed such that its edge length should be 100 mm. If each of the cube sides may be in error by as much as a millimetre. Use differentials to estimate the maximum resulting error in calculating the volume. Draw a diagram showing the change in the volume b) Which volume could be accepted and which one could be rejected? a)
Q7. A metal cube is constructed such that its edge length should be 100 mm....
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