M,R a = 0 14. A body consisted of an uniform rod of mass m and length L, and a disk of mass M and radius R can rotate about the axis z. At the beginning the body is in the horizontal position and rests. On the body acts only the gravity force. Determine the linear momentum P, and the angular momentum K relatively to point O when the body is in the vertical...
Figure 3 Uniform disk Uniform rod 3) Figure 3 illustrates a physical pendulum comprising a uniform disk having mass M and radius R and a rod having the length R and mass M. The disk is pivotally mounted with a friction-less horizontal axis of rotation that extends through the center of mass of the disk. The rod is fixedly attached to the edge of the disk...
A slender 9 lb rod can rotate in a vertical plane about a pivot at B. A spring of constant k-30 lb/ft and of unstretched length 6 in. is attached to the rod as shown. The rod is released from rest in the position shown. 1) Determine its angular velocity after the rod has rotated through 45.(1 point) 2) Determine the reaction force at pivot point B after the...
Problem 2: The uniform rod of length, L, and mass, m, shown below, is released from rest and from an angle of 8- O (radians]. The rod then begins to rotate clockwise due to the force of gravity mE 12 Note that the moment of inertia of a rod about its center is when the A) Show that the magnitude of the angular velocity of the rod is löll- rod has rotate...
What single rotation is equivalent to Rotate 40 degrees circle, Rotate 60 degrees circle, rotate -10 degrees
A uniform thin rod of length 0.65 m and mass 3.4 kg can rotate in a horizontal plane about a vertical axis through its center. The rod is at rest when a 3.8 g bullet traveling in the rotation plane is fired into one end of the rod. As viewed from above, the bullet's path makes angle θ = 60° with the rod. If the bullet lodges in the rod and the angular ve...
A uniform disk turns at 3.7 rev/s around a frictionless spindle. A nonrotating rod, of the same mass as the disk and length equal to the disk's diameter, is dropped onto the freely spinning disk. They then turn together around the spindle with their centers superposed. What is the angular frequency in rev/s of the combination?
A uniform disk turns at 3.6 rev/s around a frictionless spindle. A non rotating rod, of the same mass as the disk and length equal to the disk's diameter, is dropped onto the freely spinning disk . They then both turn around the spindle with their centers superposed. What is the angular frequency in rev/s of the combination? please express answer i...
If Body A and Body B have the same mass, but Body A has a radius twice as large as Body B, which will have the higher escape velocity?Body ABody BNeitherAbout the Same
A uniform disk turns at 2.7 rev/s around a frictionless central axis. A nonrotating rod, of the same mass as the disk and length equal to the disk's diameter, is dropped onto the freely spinning disk(Figure 1) . They then turn around the spindle with their centers superposed. What is the angular frequency in rev/s of the combination?
3. A 2.8 cm x 5.0 cm rectangular rod is stretched from its initial length of 0.4000 m to a length of 0.4005 m. The Young’s modulus of the rod material is 95 GPa. Poisson’s ratio of the rod material is 0.333. A) Calculate the axial stress in units of MPa B) Calculate the transverse strain in units of microstrain C) A strain gauge with a strain gauge factor of...
Problem 10.30 A uniform 2 kg solid disk of radius R = 0.4 m is free to rotate on a frictionless horizontal axle through its center. The disk is initially at rest, and then a 10 g bullet traveling at 500 m/s is fired into it as shown in the figure below. If the bullet embeds itself in the disk at a vertical distance of 0.2 m above the axle, what will be...
All of t rod of mass B. 2a _x10 kg and length C. 5meters, with two identical uniform hollow spheres, each of mass D. 232x 10 kg a E_ meters, attached at the ends of the rod, as shown below. Note that none of the diagrams shown is drawn to scale! he questions on this exam concern a space station, consisting of a long thin uniform nd radius axis axis (e...
A system of two bodies consisting of a rod of mass m and length L, and a disk of mass M and radius R, moves in the x-y plane. The disk rotates about the axis attached to the rod at a distance b from its axis of rotation. The absolute angular velocity of the rod is 2, and the angular velocity of the disk relative to the rod is @. Determine the ratio E/Ho of...
Free body diagram: 24 0.5r 0.5r No slip (a) An ec centric disk is rotating on the ground as shown in the figure above. The disk has radius r. The distance between the center of mass of the disk (denoted as C) to its geometric center (denoted as O) is 1 r. The angle of rotation of the disk is θ and the displacement at point O is x. The disk has m...
These questions concern a space station, consisting of a long thin uniform rod of mass 4.3 x 10^6 kg and length 769 meters, with two identical uniform hollow spheres, each of mass 1.7 x 10^6 kg and radius 218 meters, attached at the ends of the rod, as shown below. Please note that none of the diagrams shown is drawn to scale. A. Suppose that the station st...
All of the questions on this exam concern a space station, consisting of a long thin uniform rod of mass B ax10 kg and length C. 57meters, with two identical uniform hollow spheres, each of mass D._232 x10 kg and radius E. 1 meters, attached at the ends of the rod, as shown below. Note that none of the diagrams shown is drawn to scale! axis (a) Suppose...
All of the questions on this concern a space station, consisting of a long thin uniform rod of mass 4.4 x 106kg and length 171 meters, with two identical uniform hollow spheres, each of mass 1.3 x 106 kg and radius 57 meters, attached at the ends of the rod, as shown below. Note that none of the diagrams shown is drawn to scale! PART D: (d) Let's start...
A thin rod, of length L and negligible mass, that can pivot about one end to rotate in a vertical circle. A heavy ball of mass m is attached to the other end. The rod is pulled aside through an angle and released. (a)What is the speed of the ball at the lowest point if L = 2.20 m, = 19.0°, and m = 500 kg? (b) Does the speed increase, decrease, or remain the...
A thin disk (radius R and mass M) attached to the top of a hollow cylinder (height & radius R and mass M) is wobbling while spinning. ←R-height-radius Derive an expression for the angular momentum L of the object lif its initial rotation vector ω ω|êut ω3ез. Assume that ω3 is large and nonzero, that ω! İs nonzero but small, and that ω2 is initially zero...