4.15 Compute the displacements, reactions, and internal forces for the system shown. E = 200,000 MPa. 4 m 40 kN -4 m -8m d b I =50x105 mm² A = 4×10³ mm² Problem 4.15 5 m [I =200 × 10 mm² =6×10³ m²

The force between two charges is 120 N. if the distance between the charges is doubled, the force will be; 40 N O 15 N O 60 N O 30N

Consider the portal frame shown in the figure and assume the modulus of elasticity, E= 2.5×10 MPa and the moment of inertia, I=8×10*mm* for %3D %3D all the members of the frame. 2000 kN 1650 |(E, I) 2 m kN/m о (Е, ) SE (E, I) mom hog 4 m R E4m- The rotation (in degrees) up to one decimal place at the rigid joint Q would be

5) A) Projectile motion A gun with muzzle velocity of 1200 ft/sec is fired at an angle of 8° above the horizontal. Find the horizontal and vertical components of the velocity. B) Inclined plane Suppose that a box is being towed up an inclined plane as shown in the figure. Find the force w needed to make the component of the force parallel to the inclined plane equal to 2.5 lb. 330 15° 6) A force F = 2i + j - 3k is applied to a spacecraft with velocity vector v = 3i – j. Express F as a sum of a vector parallel to v and a vector orthogonal to v. 7) a) Work along a line Find the work done by a force F = 5i (magnitude 5 N) in moving an object along the line from the origin to the point (1, 1) (distance in meters). b) Locomotive The Union Pacific's Big Boy locomotive could pull 6000-ton trains with a tractive effort (pull) of 602,148 N (135,375 Ib). At this level of effort, about how much work did Big Boy do on the (approximately straight) 605-km journey from San Francisco to Los Angeles?…

Q3-An 8-kg block is suspended from a spring having a stiffness K= 80 N/mlf the block is given an upward velocity of 0.4 m/s when it is 90 mm above its equilibrium position,determine the equation which describes the motion and the maximum upward displacement of the block measured from the equilibrium position. Assume that positive displacement is measured downward. Own=3.162 rad/s 0.031622 rad/s Own=31622 rad/s Own=0.31622 rad/s Own= 0.0375 rad/s

The friction tongs shown in Figure are used to lift a 350 kg casting. Knowing that h = 864 mm, determine the smallest allowable value of the coefficient of static friction between the casting and blocks D and D'. 3 216 mm 162 mm A B' 288 mm 350 kg 144 mm

For the frame shown below, The mass of the object connected is 60-kg. what is the value of horizontal reaction force at the pin A in N? (Note: enter your numeric answer only. No need to enter units. Give your answer to three decimal places and negative in the left direction). Ax = N -1.2 m 0.1 m 0.3 m B C 0.6 m A

ASAP THANKS

A chain that has a mass of 0.8 kg/m is draped over the sprocket which has a mass of 2 kg and a radius of gyration of ko = 50 mm. (Figure 1) Figure 100 mm- s=1m A 0 1 of 1 If the 5 kg block A is released from rest from the position s = 1 m, determine the angular velocity of the sprocket at the instant s = 2 m. For the calculation neglect the portion of the chain that wraps over the sprocket. Express your answer to three significant figures and include the appropriate units. μА w = 42.233 rad S ?

Derive the equation of motion of the weight w suspended from a spring at the free end of the cantilever steel beam shown below. For the steel, E = 200x10°mpa. Ignore the mass of beam and spring 3.0m 50mm diameter steel rod k = 3572N/m M =100kg P(t) Exercige 2