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As an airplanes brakes are applied, the nose wheel exerts two forces on the end of the landing gear as shown. Determine the horizontal and vertical components of the reaction at pin C and the force in strut AB.

The uniform rod AB has weight of 15 lb and the spring is unstretched when theta=0 . If theta=30 , determine the stiffness k of the spring.

The framework is supported by the member AB which rests on the smooth floor. When loaded, the pressure distribution on AB is linear as shown. Determine the length d of member AB and the intensity w for this case.

If the cable can be subjected to a maximum tension of 300 lb, determine the maximum force F which may be applied to the plate. Compute the x, y, z components of the reaction at the hinge A for this loading.

Determine the horizontal and vertical components of reaction at the pin A and the force in the cable BC. Neglect the thickness of the members.

Determine the normal reaction at the roller A and horizontal and vertical components at pin B for equilibrium of the member.

A horizontal force of P=100 N is just sufficient to hold the crate from sliding down the plane, and a horizontal force of P=350 N is required to just push the crate up the plane. Determine the coefficient of static friction between the plane and the crate, and find the mass of the crate.

The handle of the hammer is subjected to the force of F = 20 lb. Determine the moment of this force about the point A.

In order to pull out the nail at B, the force F exerted on the handle of the hammer must produce a clockwise moment of 500 lb in. about point A. Determine the required magnitude of force F.

If the 1.5 m long cord AB can withstand a maximum force of 3500 N, determine the force in cord BC and the distance y so that the 200 kg crate can be supported.

Determine the magnitude of the resultant force acting on the pin and its direction measured clockwise from the positive x axis.

The three forces are applied to the bracket. Determine the range of values for the magnitude of force P so that the resultant of the three forces does not exceed 2400 N.

Three forces act on the bracket. Determine the magnitude and direction theta of F(2) so that the resultant force is directed along the positive u axis and has a magnitude of 50 lb.

If F(2) =150 lb and theta = 55 degrees, determine the magnitude and direction measured clockwise from the positive x axis of the resultant force of the three forces acting on the bracket.

Cable AB exerts a force of 80 N on the end of the 3 m long boom OA. Determine the magnitude of the projection of this force along the boom.

Determine the forces in cables AC and AB needed to hold the 20 kg ball D in equilibrium. Take F=300 N and d = 1 m .

Determine the stretch in springs AC and AB for equilibrium of the 2 kg block. The springs are shown in the equilibrium position.

The ball D has a mass of 20 kg. If a force of F=100 N is applied horizontally to the ring at A, determine the dimension d so that the force in cable AC is zero.

The unstretched length of spring AB is 3 m. If the block is held in the equilibrium position as shown, determine the mass of the block at D.

Three cables are used to support a 900 lb ring. Determine the tension in each cable for equilibrium.

Two men exert forces of F = 80 lb and P = 50 lb on the ropes. Determine the moment of each force about A. Which way will the pole rotate, clockwise or counterclockwise?

Replace the distributed loading with an equivalent resultant force, and specify its location on the beam measured from point A.

If the man at B exerts a force of P = 30 lb on his rope, determine the magnitude of the force F the man at C must exert to prevent the pole from rotating, i.e., so the resultant moment about A of both forces is zero.

Determine the intensities w(1) and w(2) of the distributed loading acting on the bottom of the slab so that this loading has an equivalent resultant force that is equal but opposite to the resultant of the distributed loading acting on the top of the plate.

The beam is subjected to the distributed loading. Determine the length b of the uniform load and its position a on the beam such that the resultant force and couple moment acting on the beam are zero.

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