20-mm diameter 0.4 m 0.5 m 60-mm diameter

(where necessary assume g = 9.8m s-2.)

How far from  Q 2 must  Q 3 be located so that the forces on  Q 2 are at equilibrium ?    ( Ans: 16.5 cm)

By finding the curl, determine which of the following forces are conservative: (a) F = ix +jy + kz (b) F = iy - jx + kz* (c) F = iy + jx + kz' 4.2 _3

A high-carbon steel with a fully pearlitic microstructure was used to form a high-strength bolt (H.-C. Lee et al., J. Mater. Proc. Tech. 211, 1044 (2011)). It was found that the bolt head had an average interlamellar spacing of 257 nm whereas the average spacing in the body of the bolt was 134 nm. Assuming that dislocation pileup is the primary mechanism responsible for the strength of this alloy, what ratio of strength (or hardness) might be expected in the head and body of the bolt?

In the figure below, suppose the length L of the uniform bar is 3.50 m and its weight is 240 N. Also, let the block's weight W = 350 N and angle 0 30°. The wire can withstand a maximum tension of 500 N. C - X→ com В (a) What is the maximum possible distance x before the wire breaks? (b) With the block placed at this maximum x, what is the horizontal component of the force on the bar from the hinge at A? N (right) (c) What is the vertical component of this force? N (up)