statics page 1
statics page 2
statics page 3
statics page 4
RETURN TO HOME PAGE
The forces shown are the resultant downward loads on sections of the due to accumulated snow. Determine the magnitude and point of application of a single resultant of the four loads.
A follower ABCD is held against the circular cam by the spring stretched 5 mm. The tension in rod BE is 18 N. Find the magnitude of the force exerted on the roller at corner A and the reaction forces at C.
A 280 N force F and a 63.3 Nm couple M are applied to a corner A of the block as shown. Find the equivalent force couple system at corner D.
The point and distributed loads act on the cantilevered beam shown in the figure. Determine the reactions at the beam support.
Water flows around a plate of width 0.500 m and length 1.00 m at a bulk velocity, v=.500 ft/s p=fluid densit (water)=1.00 g/cm^3 u=fluid vescosity (water)=.798 mPaS (note: the "m" is an SI prefix no "meter" abbreviation) The exact solution of the laminar boundary-layer equations leads to the following expression for the drag force, Fk, on a flat plate of width W and length L, wetted on both sides: Fk=1.328*(puLW^2v^3)^.5 Calculate the drag force in SI units.
Three forces act on the hook shown in the Figure. Determine the cartesian coordinate form of the equivalent resultant force combination the 40, 60, and 80 lb forces. Determine the magnitude of that resultant force. Assuming that in 3D space, the plane of the paper is the x-y plane with a horizontal x axis and a vertical y axis and the positive z axis coming out of the page-determine the direction cosines of that resultant.
Two forces act on the bracket shown in the Figure. Determine the angle between F2 and the positve z-axis. Find the angle between F1 and F2.
A weight is suspended from a 5-ft cable and spring as shown in the Figure. The tension in the spring causes it to stretch from 3 to 3.5 ft. The spring constant is 100 lb/ft. Draw the 2-D free body diagram. Find the value of the suspended weight from the EOE.
The bucket has a weight of 80 lb and is being hoisted using thre springs, each having an unstretched length of 1.5 ft and a stiffness of k=50 lb/ft. Determine the vertical distance d from the rim to point A for equilibrium.
The members of a truss are connected to the gusset plate. If the forces are concurrent at point O, determine the magnitudes of F for equilibrium. Take theta = 78 degrees. Determine the magnitude of T.
The wire forms a loop and passes over the small pulleys at A, B, C, and D. If the maximum resultant force that the wire can exert on each pulley is 140 N, determine the greatest force P that can be applied to the wire shown.
Determine the unstretched length of spring AC if a force P=110 lb causes the angle theta = 60 for equilibrium. Cord AB is 2 ft long. Take k=50 lb/ft.
Determine the tension developed in cable AB required for equilibrium of the 75-kg cylinder. Determine the tension developed in cable AC. Determine the tension developed in cable AD.
Determine the force in cable AB needed to support the 3500-lb platform. Set d=2 ft. Determine the force in cable AC. Determine the force in cable AD.
If the moment produced by the 4 kN force about point A is 10 kN m clockwise, determine the angle theta, where 0 is less than theta is less than 90.
Serious neck injuries can occur when a football player is struck in the face guard of his helmet in the manner shown, giving rise to the guillotine mechanism. Determine the moment of the knee force P=50 lb at point A. What would be the magnitude of the nech force F so that it gives the counter balancing moment about A?
The tongs are used to grip the ends of the drilling pipe P. Determine the torque (moment) M(P) that the applied force F=150 lb exerts on the pipe about point P as a function of theta. Plot this moment M(P) versus theta for 0 less than theta less than 90.
In order to hold the wheelbarrow in the position shown, force F must produce a counterclockwise moment of 200 N m about the axle at A. Determine the required magnitude of force F.
Determine the resultant moment produced by the two forces about point O. Express the result as a Cartesian vector.
Determine the resultant moment produced by forces F(B) and F(C) about point O. Express the result as a Cartesian vector.
Determine the moment produced by each force about point O located on the drill bit. Express the results as Cartesian vectors.
Determine the moment of the force F about an axis extending between A and C. Express the result as a Cartesian vector.
The friction at sleeve A can provide a maximum resisting moment of 125 N m about the x axis. Determine the largest magnitude of force F that can be applied to the bracket so that the bracket will not turn.
If a torque or moment of 80 lb in is required to loosen the bolt at A, determine the force P that must be applied perpendicular to the handle of the flex headed ratchet wrench.
statics statics statics statics statics statics statics statics statics statics statics