## 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.

Mechanical Engineering Solutions

## 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.

Mechanical Engineering Solutions

## 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.

Mechanical Engineering Solutions

## 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.

Mechanical Engineering Solutions

## 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.

Mechanical Engineering Solutions

## 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.

Mechanical Engineering Solutions

## 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.

Mechanical Engineering Solutions

## 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

Mechanical Engineering Solutions

## 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

Mechanical Engineering Solutions

## 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

Mechanical Engineering Solutions