Three forces are acting on a massless rod of length 6 m as shown in the figure below. The rod and the forces are in the xy plane. If α=50°, β=30°, and γ = 25°, the torque on the rod about the z-axis (through the origin of the coordinate system at point C ) is:
A). 35.6 k Nm . B). 46.0 k Nm . C). 71.3 k Nm . D). 56.3 k Nm
Three forces are acting on a massless rod of length 6 m as shown in the...
The figure below shows forces acting at various points on a metal cylinder. The angles α = 46°, β = 29°, γ = 23°. The length l = 4.4 m. Find the net torque (in N·m) on the cylinder about the following axes. (a) an axis through O perpendicular to the page(b) an axis through C perpendicular to the page
Suppose that θ = 63°. (Figure 1)Two force vectors acting on a screw eye attached to a left
vertical wall are shown in the xyz space. The wall lies in the xz
plane, and the screw eye is located at the origin. Force F 1 is 300
newtons, and it is located in the second octant, 60 degrees above
the xy plane. The projection of the vector in the xy plane makes an
angle of 45 degrees with the positive...
A rod has two forces acting on it, as shown in the diagram. The magnitudes of F1 and F2 are 22.5 N and 35.7 N, respectively. If di 0.845 m, what should be the angle <d so that the net torque due to these two forces is zero about the axis indicated in the diagram? = 0.421 m and d2 d2 Axis the tolerance is +/-2%
A long, thin rod (length = 3.0 m) lies along the x axis, with its midpoint at the origin. In a vacuum, a +9.0C point charge is fixed to one end of the rod, and a -9.0HC point charge is fixed to the other end. Everywhere in the x, y plane there is a constant external electric field (magnitude 4.0 x 103 N/C) that is perpendicular to the rod. With respect to the z axis, find the magnitude of the...
Consider a bar, of length 3.5 m, shown in the figure, being acted on by three forces. The magnitudes of the first two forces are 16 N and 24 N, and the first force is acting on the end of the bar at an angle of 49° as shown. Part (a) What is the torque, in newton-meters, due to F1 on this bar relative to the left end? Use a coordinate system with positive directed out of the screen. Part (b) What...
Consider a bar, of length 4.5 m, shown in the figure, being acted on by three forces. The magnitudes of the first two forces are 22 N and 35 N, and the first force is acting on the end of the bar at an angle of 28° as shown. Part (a) What is the torque, in newton-meters, due to F1 on this bar relative to the left end? Use a coordinate system with positive directed out of the screen. Part (b) What is the torque, in...
A uniform thin rod of mass m and length 5b is suspended from the ceiling by a single string of length 2b attached to one end (this end of the rod is called P1). Thus in equilibrium the string and rod hang straight down and the lower end of the rod is a distance 7b from the ceiling (this end of the rod is called P2). The motion is constrained to be in a fixed vertical plane, so we have...
A mass m attached to the end of a massless rod of length L is free to swing below the plane of support, as shown in the figure above. The Hamiltonian for this system is given by 2 2 where θ and φ are defined as shown in the figure. On the basis of Hamilton's equations of motion, the gepsralized coordinate or momentum that isa constant in time is (A) 0 (B) ф (C) 0 (D) Pe (E) Po
Consider a bar, of length 5.5 m, shown in the figure, being acted on by three forces. The magnitudes of the first two forces are 16 N and 29 N, and the first force is acting on the end of the bar at an angle of 29° as shown. Part (a) What is the torque, in newton-meters, due to F1 on this bar relative to the left end? Use a coordinate system with positive directed out of the screen. Part (b) What...
14. A thin rod (mass lkg and length Im) with its rotation axis perpendicular to its length has a moment of incrtia of 1/12 ML2. Two forces are applied to the rod. The points of application and the directions of the forces are indicated in the diagram below. The orientations of the forces remain constant relative to the rod as the rod rotates and produce a constant torque on the rod. through its centre and Rotation axis (a) If the...