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The moment of the force F = 50i-100j-70k in lbs, about point O is Mo = 400i + 410j-300k lb-ft. Determine the coordinates of the point where the line of action of T intersects the xz plane.
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- Chapter 11, Problem 031 In the fiqure, a 0.400 kg ball is shot directly upward at initial speed 79.2 m/s. What is its anqular momentum about P, 5.16 m horizontally from the launch point, when the ball is (a) at maximum height and (b) halfway back to the ground? What is the torque on the ball about P due to the gravitational force when the ball is (c) at maximum height and (d) halfway back to the ground? Ball (a) Number Units (b) Number Units (c) Number Units (d) Number UnitsDetermine the magnitude of the moment about point "a" of a 5 N force in the defined direction from point "f" to "b". Where x = 1 m, y = 2 m, z = 3 mAn automobile windshield wiper is actuated by a force F = (80i - 70j) N. Determine the moment of this force about shaft OB in N.m.
- The sphere P travels in a straight line with speed v= 11.3 m/s. For the instant depicted, determine the corresponding values of rand 0 as measured relative to the fixed Oxy coordinate system. Assume x = 5.7 m, y = 4.0 m, p = 22° 1 Answers: r = A 0 = = i i P y m/s rad/sA hollow sphere (I=2/3mr^2) of radius R rotates about a diameter with an angular speed ω. The sphere then collapses (magically) under the action of internal forces to a final radius of R/2 with no change in its mass. What is the final angular speed of the sphere? The answer is 4ω but I'm not sure how to get there.Calculate the moment (Mo, MB, and Mc) of the 550-lb force about the points O, B, and C. Moment Mo 1. 1359 2. 1429 3. 1103 4. 1255 Moment MB 1. 0. 2. 100.0 3. 145.0 4. 250.0 Moment Mc 1. 357.0 2. 265.0 3. 0. 4. 206.0 X 10'-0" B F = 550 lb A 40° 5'-0" X
- A clever witch is social distancing during trick-or-treating by sticking her pumpkin-shaped bucket full of candy on the end of her broomstick. Her broomstick has a length of L = 1.2 m and she holds it Broomstick ly. The broomstick has a mass of 1.10 kg and the pumpkin has a mass of 2.4 kg. The witch holds her hands a distance of d = 0.80 m apart. L d. What is the force from the hand on the end of the broom? This is the hand on the left in the figure. FL = What is the force from the hand closer to the middle of the broom? This is the hand on the right in the figure. FR = NDetermine the magnitude of the moment about the line "og" of a force of 12 N in the defined direction from point "f" to "b". Where x = 1.4 m, y = 3.9 m, z = 4.8 mThe 5.9-KN force F is applied at point A. (a) Compute the moment of F about point O, expressing it both as a scalar (positive if CCW, negative if CW) and as a vector quantity. (b) Determine the coordinates of the points on the x- and y-axes about which the moment of F is zero. Assume XA = 1.2 m, YA-1.8 m, a-6, b = 12. y, m A(x, y) j+ k) kN-m Answers: (a) Scalar: Vector: On the x axis: On the y axis: (6) Mo i Moi y= i -x, m m E kN-m i+ i
- Determine the moment produced by the force F = 0.578 i +2.376 j - 1.376 k, and the position vector r= 4i + 10j - 3k Select one: -6.632i +3.77j +3.724k +2.64i - 7.08j - 2.968k -5.74i - 3.208j -10.68k - 3.64i +29.238j +18.568k NoneFind 0(theta) and W in the figure below where w1 = 15.0 N, w2 = 31.0 N, and ? = 64.0°, assuming that the arrangement is at rest. 0(theta)= W =not ? 2. Consider the curve o(t) = (t² – 4t + 2, cos(t²),' sin(t²)) for te (0, 1). - (a) Find the work required to bend a straight rod into ø, assuming a stiff- ness of M = 2. (b) Find the work required to bend a straight rod into ø, assuming a stiff- ness of M(x, y, z) = /1+ x² + y² + z².