 ## The beam is subjected to the two concentrated loads. Assuming that the foundation exerts a linearly varying load distribution on its bottom, determine the load intensities { W }_{ 1 } and { W }_{ 2 } for equilibrium if P = 500 lb and L = 12 ft.

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## If d = 1 m , and \theta = 30° , determine the normal reaction at the smooth supports and the required distance a for the placement of the roller if . Neglect the weight of the bar.

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## The uniform load has a mass of 600 kg and is lifted using a uniform 30-kg strongback beam BAC and four wire ropes as shown. Determine the tension in each segment of rope and the force that must be applied to the sling at A.

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## The rod supports a weight of 200 lb and is pinned at its end A. If it is also subjected to a couple moment of 100 lb \cdot ft, determine the angle \theta for equilibrium. The spring has an unstretched length of 2 ft and a stiffness of k = 50 lb/ft.

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## The beam is subjected to the two concentrated loads. Assuming that the foundation exerts a linearly varying load distribution on its bottom, determine the load intensities { W }_{ 1 }and { W }_{ 2 }for equilibrium in terms of the parameters shown.

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## A long ladder of length l, mass m, and centroidal mass moment of inertia I is placed against a house at an angle \theta ={ \theta }_{ 2 }. Knowing that the ladder is released from rest, determine the angular velocity of the ladder when \theta ={ \theta }_{ 0 }. Assume the ladder can slide freely on the horizontal ground and on the vertical wall.

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## A 5-m long ladder has a mass of 15 kg and is placed against a house at an angle \theta=20° Knowing that the ladder is released from rest, determine the angular velocity of the ladder and the velocity of A when \theta=45°Assume the ladder can slide freely on the horizontal ground and on the vertical wall.

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## The annular ring bearing is subjected to a thrust P. If the coefficient of static friction is { \mu }_{ s },determine the torque M that must be applied to overcome friction. Given: P = 800 Ib { \mu }_{ s } = 0.35 a = 0.75 in b = 1 in c = 2 in

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## The double-collar bearing is subjected to an axial force P. Assuming that collar A supports kP and collar B supports (1 − k)P, both with a uniform distribution of pressure, determine the maximum frictional moment M that may be resisted by the bearing.Units Used: kN = { 10 }^{ 3 } N Given: P = 4 kN a = 20 mm b = 10 mm c = 30 mm { \mu }_{ s } = 0.2 k = 0.75

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## The collar bearing uniformly supports an axial force P. If a torque M is applied to the shaft and causes it to rotate at constant velocity, determine the coefficient of kinetic friction at the surface of contact. Given: a = 2 in b = 3 in P = 500 Ib M = 3 Ib.ft

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