Determine the magnitude and direction of the resultant force FAB exerted along link AB by the tractive apparatus shown. The suspended mass is 10 kg. Neglect the size of the pulley at A.
The man at B exerts a force of 140N on the rope attached to the end of beam AC as shown. Determine the moment of this force about the base of the beam at A.
The distributed loadings of soil pressure on the sides and bottom of a spread footing are shown. Simplify this system to a single resultant force and couple moment acting at A. What is the resultant force F and the couple moment M?
There is a ball and socket connection at A. At B there is a roller that prevents motion in the z direction. Corner C is tied to D by a rope. The triangle is weightless. Determine the unknown force components acting at A, B, and C. Use a scalar analysis.
A.
Ax = 0, Ay = 0, Az = 267 N, Bz = 150 N, FDC = 283 N
B.
Ax = 0, Ay = 0, Az = 450 N, Bz = 800 N, FDC = 550 N
C.
Ax = 0, Ay = 0, Az = 200 N, Bz = 200 N, FDC = 300 N
D.
Ax = 0, Ay = 0, Az = 467 N, Bz = 350 N, FDC = 117.1 N
A force of 500 N acts at the top of the two-member frame. If the members are in smooth contact with one another at A, B, and C with no fasteners, determine the shear force developed at a horizontal section through point D of the support. Also, what are the axial force, shear force and moment at point E?
A uniform beam has a mass of 18 kg and rests on two surfaces at points A and B. Determine the maximum distance x to which the girl can slowly walk up the beam before it begins to slip. The girl has a mass of 50 kg and walks up the beam with a constant velocity.
A package is dropped from the plane which is flying with a constant horizontal velocity of vA = 150 ft/s at a height h = 1500 ft. Determine the radius of curvature of the path of the package just before it is released from plane at A.
A particle is moving along a straight line through a fluid medium such that its speed is measured as v = (2t) m/s, where t is in seconds. If it is released from rest at s = 0, determine its positions and acceleration when t = 3 s.
A rifle has a mass of 2.5 kg. If it is loosely gripped and a 1.5-g bullet is fired from it with a muzzle velocity of 1400 m/s, determine the recoil velocity of the rifle just after firing.
As the cord unravels from the wheel's inner hub, the wheel is rotating at = 2 rad/s at the instant shown. Determine the magnitudes of the velocities of point A and B.
The disk rolls without slipping such that it has an angular acceleration of = 4 rad/s2 and angular velocity of = 2 rad/s at the instant shown. Determine the accelerations of points A and B on the link and the link's angular acceleration at this instant. Assume point A lies on the periphery of the disk, 150 mm from C.
A.
aA = (1.200i - 0.600j) m/s2, aB = 1.650i m/s2, "AB = 1.500 rad/s2
B.
aA = (1.200i - 0.600j) m/s2, aB = 1.650i m/s2, "AB = 1.500 rad/s2
C.
aA = (1.200i - 2.40j) m/s2, aB = 3.00i m/s2, "AB = 6.00 rad/s2
D.
aA = (1.200i - 1.200j) m/s2, aB = 2.10i m/s2, "AB = 3.00 rad/s2
Gear C is rotating with a constant angular velocity of c = 3 rad/s. Determine the acceleration of the piston A and the angular acceleration of rod AB at the instant = 90°. Set rc = 0.2 ft and rd = 0.3 ft.