A traffic light hangs from a structure as shown.  The uniform aluminum pole AB is 7.5 m long and has a mass of 8.0 kg.  The mass of the traffic light is 12.0 kg. Determine the tension in the horizontal, massless cable CD, and the vertical and horizontal components of the force exerted by the pivot A on the aluminum pole

a. A 1200-N uniform boom of length 2.00 m is supported by a cable, as shown in the figure.  The boom is pivoted at the bottom, and a 2000-N weight hands from its top.  Find the tension in the cable and the components of the reaction force exerted on the boom by the floor. For the next two parts you can assume that the 2000-N weight is concentrated at the top end of the boom. b. Determine the total moment of inertia of the boom/weight system around the pivot point. c.  The cable now breaks, and the boom pivots until the right end hits the floor.  Determine the velocity of the right end at the instant before it hits the floor.

A 14.0 m uniform ladder weighing 510 N rests against a frictionless wall. The ladder makes a 59.0°-angle with the horizontal. A. Find the horizontal and vertical forces (in N) the ground exerts on the base of the ladder when an 810-N firefighter has climbed 4.10 m along the ladder from the bottom. B. If the ladder is just on the verge of slipping when the firefighter is 9.40 m from the bottom, what is the coefficient of static friction between ladder and ground? C. If oil is spilled on the ground, causing the coefficient of static friction to drop to half the value found in part (b), what is the maximum distance (in m) the firefighter can climb along the ladder from the bottom before the ladder slips?

A ladder of length 2L and mass M is positioned on level ground leaning against a wall such that the angle between the ladder and the horizontal is a. The coefficient of static friction between the ladder and the wall and between the ladder and the ground is jistatic = 0.66. The centre of mass ofthe ladder is halfway along it. Draw a diagram indicating all the forces acting on the ladder, and state what each force represents. Also show the direction of the a- and y-axes you will use.