(5) For the given force systems, determine the resultant force and the resultant moment at O. Ans: R=4+3–6k kN, Mo=-0.4-4+4 kN·m 4 kN 0.8 m 3 kNj 0.8 m 2 kN 0.8 m 2 kN 0.4 m 3 kN 1 kN 5 kN 3 kN 0.4 m 0.4 m

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?

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

q5

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?

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 68 kg skydiver jumps out of an airplane. We assume that the forces acting on the body are the force of gravity and a retarding force of air resistance with direction opposite to the direction of motion and with magnitude cv² where c = 0.175 kg and v(t) is the velocity of the skydiver at time t (and upward is positive velocity). The gravitational constant is g = 9.8m/s². m a) Find a differential equation for the velocity v : dv dt b) Determine the terminal velocity in meters per second for free-fall (no parachute). terminal velocity= m/s Note: Answer should be negative for downward velocity.

An object is shot straight upward from sea level with an initial velocity of 400 ft/sec. a. Assuming that gravity is the only force acting on the object, give an upper estimate for its velocity after 5 sec have elapsed. Use g = 32 ft/sec2 for the gravitational acceleration. b. Find a lower estimate for the height attained after 5 sec.

A firework of mass 0.4 kg is fired vertically upwards with initial speed 40 m/s. The firework itself provides a force of 2 N upwards. The firework explodes after 6s. Find the height at which it explodes.

A force of 24.0 N was used to push an object weighing 29.5 kg along a flat, frictionless, horizontal surface. What is the magnitude of the acceleration achieved by the object? 8.0 m/s2 0.8 m/s² 1.2 m/s² 5.5 m/s² A B. C. D.