A mine elevator is supported by a single steel cable 2.4 cm in diameter. The total mass of the elevator cage and occupants is 510 kg. By how much does the cable stretch when the elevator hangs by (a) 12 m of cable and (b) 394 m of cable? (Neglect the mass of the cable.) (a) Number i Units (b) Number i Units
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- Many caterpillars construct cocoons from silk, one of the strongest naturally occurring materials known. Each thread is typically 2.0 µm in diameter, and the silk has a Young's modulus of 4.0 x 10° N/m2. Assuming that there is no appreciable space between the parallel strands, how many strands N would be needed to N = strands make a rope 8.6 m long that would stretch only 1.02 cm when supporting a pair of 85-kg mountain climbers? Again assuming that there is no appreciable space between the parallel strands, what would be the diameter d of the rope? d = cmA steel cable of diameter 2 cm is acted upon by 50000 N of tension. If Young’s modulus is 20 x 1010 N/m2 and its unstressed length was 5 m, what is its length while stressed? A 4 mm B 5 m C 5 m 1 mm D 5 m 4 mmMany caterpillars construct cocoons from silk, one of the strongest naturally occurring materials known. Each thread is typically 2.0 µm in diameter, and the silk has a Young's modulus of 4.0 × 10⁹ N/m². Assuming that there is no appreciable space between the parallel strands, how many strands N would be needed to make a rope 8.2 m long that would stretch only 1.02 cm when supporting a pair of 91-kg mountain climbers? N = Again assuming that there is no appreciable space between the parallel strands, what would be the diameter d of the rope? strands d = cm
- When a tension of 70 N is applied to a piano wire of length 1.8 m, it stretches by 2.0 mm. If the same tension is applied to a similar piano wire of length 3.6 m, by how much will it stretch?A solid copper cube has an edge length of 89.1 cm. How much stress must be applied to the cube to reduce the edge length to 89 cm? The bulk modulus of copper is 1.4 x 10¹¹ N/m². Number i UnitsA certain wire stretches 1.2 cm when outward forces with magnitude F are applied to each end. The same forces are applied to a wire of the same material but with six times the diameter and 12 times the length. The second wire stretches in cm:
- A 2.00-m-long, 1.00-mm-diameter wire is suspended from the ceiling. Hanging a 4.50 kg mass from the wire stretches the wire’s length by 1.00 mm. Use g = 10.0 m/s2. What is the stress in this wire, ____ ×107 N/m2? Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.Structural member AB is to be supported by a strut CD. Determine the smallest length CD may have, and specify where D must be located for a strut of this length to be used. Take x= 120 mm. 60 mm D. y 20 mm E The smallest length CD may have is mm. The coordinates of point Dare ( and Imm.A cylindrical steel rod is originally 250 cm long and has a diameter of 0.257 cm. A force F is applied longitudinally and the rod stretches 0.910 cm. What is the magnitude of the force? F = N
- A force stretches a (first) wire by 2mm. This wire is made of an unknown material and has a 1.2cm diameter and 3.5cm length. A second wire of the same material has the same length but four times the diameteras the first. How far will it be stretched by the same force?A force compresses a bone by 1.0 mm. A second bone has the same length but twice the cross-sectional area as the first. By how much would the same force compress this second bone? 0.50 mm 1.0 mm 2.0 mm 4.0 mm 8.0 mm