Questions from Mechanics


Q: A car weighing 130 kN when fully loaded is pulled slowly up

A car weighing 130 kN when fully loaded is pulled slowly up a steep inclined track by a steel cable (see figure). The cable has an effective cross-sectional area of 490 mm2, and the angle a of the inc...

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Q: Two steel wires support a moveable overhead camera weighing W = 28

Two steel wires support a moveable overhead camera weighing W = 28 lb (see figure part a) used for close-up viewing of field action at sporting events. At some instant, wire 1 is at an angle a = 228 t...

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Q: A long retaining wall is braced by wood shores set at an

A long retaining wall is braced by wood shores set at an angle of 308 and supported by concrete thrust blocks, as shown in the first part of the figure. The shores are evenly spaced at 3 m apart. For...

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Q: A pickup truck tailgate supports a crate where WC = 150 lb

A pickup truck tailgate supports a crate where WC = 150 lb, as shown in the figure. The tailgate weighs WT = 60 lb and is supported by two cables (only one is shown in the figure). Each cable has an e...

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Q: A cable and pulley system at D is used to bring a

A cable and pulley system at D is used to bring a 230-kg pole (ACB) to a vertical position, as shown in the figure part a. The cable has tensile force T and is attached at C. The length L of the pole...

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Q: Solve the preceding problem if the mass of the tailgate is MT

Solve the preceding problem if the mass of the tailgate is MT = 27 kg and that of the crate is MC = 68 kg. Use dimensions H = 305 mm, L = 406 mm, dC =&A...

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Q: An L-shaped reinforced concrete slab 12 ft × 12 ft

An L-shaped reinforced concrete slab 12 ft × 12 ft, with a 6 ft × 6 ft cut-out and thickness t = 9.0 in, is lifted by three ca...

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Q: A crane boom of mass 450 kg with its center of mass

A crane boom of mass 450 kg with its center of mass at C is stabilized by two cables AQ and BQ (Ae = 304 mm2 for each cable) as shown in the figure. A load P = 20 kN is supported at point D. The crane...

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Q: Two gondolas on a ski lift are locked in the position show

Two gondolas on a ski lift are locked in the position show in the figure while repairs are being made elsewhere. The distance between support towers is L 5100 ft. The length of each cable segment unde...

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Q: A round bar ABC of length 2L (see figure) rotates

A round bar ABC of length 2L (see figure) rotates about an axis through the midpoint C with constant angular speed ω (radians per second). The material of the bar has weight density g. (a)...

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