(1) The 25 kg rectangular access door is held in the 90° open position by the single prop CD shown. Determine the force F supported by the prop and the magnitude of the reaction force normal to the hinge axis AB in each hinge at A and B. Ans: F =140.5 N, An = 80.6 N, Bn = 95.4 N 300 mm. 1000 mm D B 1200 mm 600 mm

Calculate the moment Mg of the 780-N force about the bolt at B. Simplify your work by first replacing the force by its equivalent force- couple system at A. The moment is positive if counterclockwise, negative if clockwise. Assume F = 780 N. r = 195 mm, h=620 mm, 0 = 33% = 40° Answer: Ma N-m

(6) A force of 200 N is applied perpendicular to the wrench at its tip as shown. Determine the equivalent force-couple system at center O of the wheel. Ans: F=68.4-187.9 N, Mo = 78.3 N'm CW 650 mm 125 mm 450 mm 20° 200 N

Use the concept of Particular Antiderivatives and Rectilinear Motion to answer the problem below: On the edge of an 8m building, Sam throws his toy vertically upwards at initial velocity = 28 m/s. If the only force that acts on the toy is accelerationdue to gravity (-32 ft/s),  a. How many seconds will it take for the toy to reach its maximum height?b. What is the toy's speed when it hits the ground?

A basket of flowers of mass 3 kg is placed on a flat grassy slope that makes an angle θ with the horizontal. The coefficient of static friction between the basket and the slope is 0.45 and the basket is on the point of slipping down the slope. Model the basket of flowers as a particle and the grassy slope as a plane. Take the magnitude of the acceleration due to gravity, g, to be 9.8 m s−2 Express the forces in component form, in terms of θ and unknown magnitudes where appropriate. Write down the equilibrium condition for the basket and hence show that tan θ = 0.45. Determine the angle, in degrees, that the slope makes with the horizontal.

Calculate the force (in Newtons) required to push a 50kg wagon up a 0.2 radian inclined plane. One Newton (N) is equal to 1 kg-m and the g2 force due to gravity on the wagon is F = m * g, where m is the mass of the wagon, and g is the acceleration due to gravity (9.8 ). Please ignore friction in this problem. Hint: draw a picture, and express the forces on the wagon as vectors. Force N

A sheet of water of uniform thickness (h = 0.03 m) flows from the device shown in the figure below. The water enters vertically through the inlet pipe and exits horizontally with a speed that varies linearly from 0 to 11 m/s along the 0.2-m length of the slit. Determine the y component of anchoring force necessary to hold this device stationary. FAY = 0 m/s- i 0.2m 0.03m N 11m/s

A 60-mm-diameter solid aluminum post is subjected to a horizontal force of V = 25 KN, a vertical force of P = 70 kN, and a concentrated torque of T = 3.25 kN-m, acting in the directions as shown in the Figure. If L = 90 mm. Determine the normal and shear stresses at (a) point Hand (b) point K. T "| P HK X L

2- A constant force of (2kN) pulls a box along a level floor a distance of (10 m) in (50 s). What is the power used?