A projectile is launched at an angle of 30° to the horizontal from 6 ft above the ground at an initial speed of 150 ft/sec. Assume the x-axis is horizontal, the positive y-axis is vertical (opposite g), the ground is horizontal, and only the gravitational force acts on the object. Answer parts a through d. a. Find the velocity and position vectors for t20. The velocity vector is v(t) =

(3) A force F of magnitude 600 N is exerted at point A by rod AB on crank OA as shown with 0 = 18° and ẞ = 32°. Determine the n- and t-components of the force and the unit vector ê based on both x-y and n-t coordinate axes. The n- axis is directed along line OA, and the t-axis is perpendicular to line OA. Ans: Fn=-145.2 N, F₁ = 582 N, ê = −0.530ê +0.848ê,, = −0.242ê„ +0.970ê, B BI -2

(2) For the two oblique axes shown, determine the component of F along the b-axis F, if the projection of force F onto the a-axis is Pa = 250 N. Ans: Fb = 612 N 60° 45°

A block-and-tackle pulley hoist is suspended in a warehouse by ropes of lengths 2 m and 3 m. The hoist weighs 430 N. The ropes, fastened at different heights, make angles of 50° and 38° with the horizontal. Find the tension in each rope and the magnitude of each tension. (Let  T2  and  T3,  represent the tension vectors corresponding to the ropes of length 2 m and 3 m respectively. Round all numerical values to two decimal places.) T2  =          |T2|  =  339.0511648       N T3  =          |T3|  =  276.5671494