1. Given that T = 28.3 kN and W = 25 kN, determine the magnitude and sense of the moments about point B of the following: (a) the force T; (b) the force W; and (c) forces T and W combined. 36 m B T 20 m 16 m

2.4 0.050 kg yo-yo to swoing on a vertical carcie on the end of ²+J 0.30m long String at the slowest speed that the yo-yo can have and Jfall make the carcie. 0. What is this speed? Include a labelled free-body d'agram with your answer. 23 b. What was the maximum tension in the string be when the or a vertices Carcie at this spees? Where will this maximum tension occur? Include a fabelled free-body diagram with yo-yo swung answer. your

A horizontal carousel is rotating around its axis with constant angular velocity w. On the carousel there is a straight track passing through its middle. A cart of mass m is traveling along the track with constant velocity v relative to the carousel. Note that there is friction between the cart and the carousel. FR w XR a. Find the magnitude of the side force (that is in the direction of YR) that the track applies on the cart when the cart passing L. through point xR = Select one: a. 2mwv b. mwv C. mwv + mw² L d. mw² L e. 2mw²L 2mwv + mw² L

8. The wheels fall off Beatrice's suitcase, so she ties a rope to it and drags it along the floor at the airport terminal. The rope makes a 40.0 degrees angle with the horizontal. The suitcase has a mass of 36.10kg and Beatrice pulls on a rope with a force of 65.10 N. What is the magnitude of normal force acting the on the suitcase due to the floor? a. 40.43N b. 311N c. 9.36N d. 312.30N e. 310.32N

9. A train pulls out of a station along straight with a horizontal track five identical freight cars behind it, each of which weighs 90.0 KN. The train 25.0 m/s reaches a speed of within 5.0 mins. Of starting out. Assuming the engine pulls with a this interval, with a magnitude of a force does the coupling between cars pulls forward on the last of the freight cars? Ignore air constant force during resistance and friction the freight cars. a. 733.94N c. 45, 871.56N b. 458.72N d. 2.30KN d. 459 KN

Q0.2

A 9 kg object undergoes an acceleration given by a (4î - 3j) m/s? The magnitude of the resultant force acting on the object equals: %3D a. 2025 N Ob.9 N OC. 45 N Od. 225 N

A  6.5 kg block is placed on a frictionless surface, conneted to an unknowm mass, and arranged as shown.  The unknown mass falls from rest a distance 2.4 m, acheiving a speed of 4 m/s.    a. Determine the unkown mass. b. Find the tension in the string.

10

A 15 kg block is observed to be speeding up as it moves up an incline. The magnitude of the block's acceleration is 1.2 m/s 2 . The angle of the incline is 24 o above the horizontal. An applied force is predominantly directed up the incline but its direction is 12o above the incline itself Find the magnitudes of the following forces: a. The normal force exerted by the incline. b. The applied force.                    Needs Complete typed solution with 100 % accuracy.