The magnitude of the force F is 120 lb. Find its rectangular representation
The resultant of the three concurrent forces acting on the eyebolt is the force R = 800j lb. Determine the magnitude of the force P and the angle θ that specifies the direction of the 900-lb force.
Find the rectangular representation of the force F, given that its magnitude 240 N.
The supporting cables AB and AC are oriented so that the components of the 360-lb force along AB and AC are 185 lb and 200 lb, respectively. Determine the angles α and β
The 500-N weight is supported by two cables, the cable forces being F1 and F2. Knowing that the resultant of F1 and F2 is a force of magnitude 500 N acting in the y-direction, determine F1 and F2.
Given the vectors A = 8i + 4j -2k N B = 2j + 6k m C = 3i -2j + 4k m Calculate the following: a. 𝐀 ∙ 𝐁 b. The orthogonal component of B in the direction of C c. The angle between A and C d. A x B e. a unit vector λ that is perpendicular to both A and B f. 𝐀 x 𝐁 ∙ 𝐂
Compute the magnitude of the moment of the force P about point A
three carts of masses m1+4.00 kg, m2+10.0 kg and m3 = 3.00 kg move on a frictionless, horizontal track with speeds of v1=5.00 m/s to the right, v2 =3.00 m/s to the right, and v3= 4.00 m/s to the left. Velcro couples make the carts stick together after colliding. Find the final velocity of the train of three carts. (b) What if? does your answer in part (a) require that all the carts collide and stick
A wheel with a radius of 1.961m and a mass of 0.296kg rolls without sliding down a plane that tilts at an angle of 21.940 degrees. If the wheel is accelerated by a torque of 1.595 N x m, calculate the power if the wheel, which is shaped like a homogeneous cylinder, has a kinetic energy of 13.90J
A horizontal circular disc with radius r = 0.9681m rotates around its own axis. How long does it take for the disc to spin 1.34 revolutions if the angular velocity is w(t) = 3.343t rad/s?