A handyman has left a ladder leaning on a wall which begins to slip. At a given instant, the top of the ladder has an acceleration a B = 3.5 m s 2 and a velocity of v B = 5.6 m s , both acting downward. Determine the magnitude of the ladder's angular acceleration and magnitude of acceleration at the bottom of the ladder, A, at this instant. The length of the ladder is l = 10.5 m and forms an angle of θ = 28 ° with the ground at A.

Air is held within a frictionless piston-cylinder container, which is oriented vertically. the mass of the piston is 0.45 kg and the cross-sectional area is 0.0030 m2. initially (state 1) the pressure of the gas is sufficient to support the weight of the piston as well as the force exerted by the atmospheric pressure ( 101.32 kpa). the volume occupied by the air within the cylinder in state 1 is 1.00 liter. one end of a spring (with spring constant k = 1000 n/m) is attached to the top of the piston, while the other end of the spring is attached to a stage that can move vertically. initially the spring is undeflected and therefore exerts no force. then the stage is then moved quasistatically downward a distance of 10.0 cm, at which point the system reaches state 2. the piston-cylinder is not insulated; rather it remains in diathermal contact with the surroundings, which are at a constant temperature of 300 k. what is the change of pressure within the container?

Which of the following are appropriate acceleration units?

Using the free-body diagram, calculate the net force acting on the sled. is the sled in a state of dynamic equilibrium?