The uniform 19 lb beam is initially at rest when the forces FA applied at A (on its left hand-side) is vertical and Fg applied at B (on its right hand-side) forms an angle 0-56° with the horizontal. FA FB 12 ft Determine FA (answer in the cell bellow) and Fg to make sure that: the beam has no angular acceleration • its horizontal horizontal acceleration is 1.6-times smaller than its vertical acceleration

1000 lb -8 ft +2ft A beam that weighs 300 lbs is supported by a roller and pin B and A respectively while being subjected to a force of 1000 lbs. If the pin at A is suddenly removed, determine the beams angular acceleration, the force exerted by support B and the horizontal acceleration just after A is removed. Assume the beam is a slender rod of negligible thickness. Please don't use angle measurements when solving. Use the 3-4-5 triangle to solve, if that makes sense. Thank you! Choutranco impgo tout

4. A loading car is at rest on a track forming an angle of 25° with the vertical when a force is applied to the cable attached at C. The gross weight of the car and its load is 5465 lb WG, and it acts at point G. Know the tension in the cable connected at C is 5000 Ib Tc. Neglect friction between the car and the track. Determine how far the car travels in 15 seconds. Model this as a particle at G. 24 in. B 25 in. 30 in. 25 in.

EXERCISE 2.53 Collar C is pushed along the guide bar defined by y= 2(1-0.25x²), where x and y have units of meters. The angular speed of arm AB that actuates the motion is the constant value = 20 rad/s, so = ct. Determine the forces exerted on the collar by arm AB and the guide bar at x = 1 m. The mass of the collar is 2 kg, and gravitational effects are ignorable. (Hint: use Cartesian and polar coordinates to solve the problem.)

1. (bold type indicates a vector) An object of mass m = 10 kg may rotate in a vertical plane about the fixed point P under the action of gravity. The distance d from the point P to the center of mass C is d = 0.5 m. The moment of inertia Ie about the center of mass C is unknown. The object starts at rest in the position shown and is then released. At the instant of release the acceleration of the center of mass is measured to be a, = (-5 m/sec²)j (i.e., downward). Use the given information to determine the moment of inertià I, about the center of mass. Use g = 10 m/sec?. gravity w go P (f ixed)

EXERCISE 3.40 Collar C slides relative to the curved rod at a constant speed u. The rotation rate about bearing axis AB is constant at Q. Determine the acceleration of the collar in terms of the angle locating the collar. Also derive expressions for the dynamic forces exerted on the collar by the rod and the tangential force required to hold u constant. Gravity may be assumed to be unimportant. (Hint: attach frame xyz to the curved rod, make the tangent point of AB and circle as its origin. Axis x is horizontal and rightward. y axis is vertical and downward.) 225