The two balls are attached to the light rigid rod, which is suspended by a cord from the support above it. If the balls and rod, initially at rest, are struck with the force F = 19.1 lb, calculate the magnitudes of the corresponding acceleration ā of the mass center and the rate at which the angular velocity of the bar is changing. T 7.2" 2.7" 5.3" 10.7" Answers: a= Ö= i i F 4.74 lb 1.67 lb ft/sec² rad/sec²
Q: A uniform rod is set up so that it can rotate about an axis at perpendicular to one of its ends. The…
A:
Q: torque on the rod
A: Given: Length of rod is l=4.1 m One end of rod is at the origin. A force F=5 N is applied at point…
Q: A 335-kg merry‑go‑round with a radius of 1.50 m is spinning counterclockwise, as viewed from above,…
A:
Q: A one-piece cylinder has a core section protruding from the larger drum and is free to rotate around…
A:
Q: F, Problem 5: A uniform disk of mass m = 3.6 kg and radius R = 16 cm can rotate about an axle…
A:
Q: A playground merry-go-round of radius R = 2.20 m has a moment of inertia I = 230 kg · m² and is…
A: Given : Radius of a merry-go-round (R) = 2.20 m Moment of inertia (I) = 230 kg.m2 Initial angular…
Q: A uniform rod is set up so that it can rotate about an axis at perpendicular to one of its ends. The…
A: Moment of inertia of rod = M (L/2)2 Moment of inertia = 0.141 kgm2 α = 6.47/8.27 = 0.7823 Torque of…
Q: A uniform solid disk with a mass of 29.5 kg and a radius of 0.407 m is free to rotate about a…
A:
Q: What are the magnitude and the direction of net torque about point O for the two forces applied as…
A:
Q: The smooth disks D and E have a weight of 200 lb and 100 lb, respectively. a. Determine the largest…
A: Newton's third law of motion says that every action has equal and opposite reaction. Similarly, any…
Q: playground merry-go-round with a mass of 110 kg and a radius of 1.8 m is rotating with a frequency…
A:
Q: In the figure shown, the 200-kg homogeneous cylinder rolls without slipping on the horizontal…
A: Solution:-Given thatm=200 kgP1=900 NP2=1100 Nr=0.9 m
Q: A solid, horizontal cylinder of mass 14.8 kg and radius 1.00 m rotates with an angular speed of 6.00…
A: (given) Mass of horizontal cylinder = 14.8 kg Radius = 1 m Angular speed = 6 rad/s Mass of putty =…
Q: A vinyl record spins freely on a frinctionless turntable. The mass of the record is 0.10 kg, the…
A:
Q: circular disk with a radius of 0.43 m is subject to 2 tangentially applied forces. The disc is fixed…
A:
Q: A soccer player extends her lower leg in a kicking motion by exerting a force with the muscle above…
A: Given: The angular acceleration of the player is α=28.5 rad/s2. The moment of inertia of lower leg…
Q: A cylinder having a mass of 5.0 kg can rotate about its central axis through point O. Forces are…
A: Given; F1 = 7.0 N, F2 = 4.5 N, F3 = 1.5 N, and F4 = 5.0 N. and R1 = 5.0 cm = 5 x 10-2 m and R2 =…
Q: A student sits on a rotating stool holding two 3 kg objects. When his arms are extended…
A:
Q: The masses and coordinates of four particles are as follows: 40 g, x = 3.0 cm, y = 1.0 cm; 30 g, x =…
A: The moment of inertia is the product of mass and square of distance from axis. ie, I = mr2
Q: A horizontal force of P= 100 N is applied to the 330-kg reel of cable. The reel rests on rollers at…
A:
Q: Y 5.9 cm 16.9 kg 90° 1.46 kg pivot K 31.3 cm→ 1.46 kg
A: Given, L = 0.313 m m = 1.46 kg M = 16.9 kg R = 0.0295 m We know that, Moment of inertia of the rod:…
Q: A circular disk with a radius of 0.52 m is subject to 2 tangentially applied forces. The disc is…
A:
Q: A playground merry-go-round with a mass of 115 kg and a radius of 2.1 m is rotating with an angular…
A: Given that, Mass of the merry-go-round, m1 = 115 kg Radius, r = 2.1 m The angular velocity of the…
Q: String is wrapped around the outer rim of a solid uniform cylinder that is free to rotate about a…
A:
Q: A disc with a radius of 0.53 m is fixed to rotate about its center. Three forces act on the object…
A: Given: The force F1 is 14.7 N. The force F2 is 11.1 N. The force F3 is 11.5 N. The angle is 34.3…
Q: A uniform rod is set up so that it can rotate about an axis at perpendicular to one of its ends. The…
A: Given: mass of rod m = 1.09 Kg length of rod L =0.769 m initial angular speed…
Q: 6. A solid disk rotates in the horizontal plane at an angular velocity of 4.10 × 10-2 rad/s with…
A: Angular velocity, ω = 4.10×10-2 rad/s = 0.041 rad/s Moment of inertia of disk, I = 0.17 kg.m²…
Q: Two uniform circular disks of moment of inertia I = 3.0 × 10-3 kg · m2 about its center of mass and…
A: Given: w=6NI=3.0×10w=6-3 kg-mrR=0.25mg=9.8 m/sr
Q: nerry-go-round, what is the new angular velocity in revolutions per minute? I
A:
Q: A uniform rod is set up so that it can rotate about an axis at perpendicular to one of its ends. The…
A:
Q: 28
A: Write the expression for conservation of angular momentum
Q: A circular disk with a radius of 0.38 m is subject to 2 tangentially applied forces. The disc is…
A:
Q: The wheel and axle have forces applies tangentially as shown in the figure. There is also a…
A: Torque is given by The magnitude of the torque on an object is given by Where r = distance from…
Q: A circular disk with a radius of 0.42 m is subject to 2 tangentially applied forces. The disc is…
A: Data provided: Radius of circular disk (R) = 0.42 Force (F1 ) = 4.4 N, at outer edge of the disc…
Q: A uniform rod is set up so that it can rotate about an axis at perpendicular to one of its ends. The…
A: mass (m) = 1.27 kg Length (L) = 0.765 m Initial angular speed (ω) = 0 radsFinal angular speed (ω') =…
Q: A uniform thin rod of mass m = 3.2 kg and length L = 1.5 m can rotate about an axle through its…
A: Note:- I have solved all parts from part(a) to part(e) for simplicity.
Step by step
Solved in 2 steps with 2 images
- A playground merry-go-round of radius R = 1.80 m has a moment of inertia I = 255 kg. m² and is rotating at 12.0 rev/min about a frictionless vertical axle. Facing the axle, a 23.0-kg child hops onto the merry-go-round and manages to sit down on the edge. What is the new angular speed of the merry-go-round? rev/minA 5.0 kgkg, 68-cmcm-diameter cylinder in (Figure 1) rotates on an axle passing through one edge. The axle is parallel to the floor. The cylinder is held with the center of mass at the same height as the axle, then released. What is the magnitude of the cylinder's angular velocity when it is directly below the axle?A vinyl record spins freely on a frinctionless turntable. The mass of the record is 0.10 kg, the radius is 0.10 m, the rotational inertia is 5.0 x 10-4 kgm2 and it rotates with angular speed of 4.7 rad/s. A 0.024 kg piece of clay falls on the edge of the record. Determine the angular speed of the record right after the clay sticks to it. Use conservation of momentum.
- A soccer player extends her lower leg in a kicking motion by exerting a force with the muscle above the knee in the front of her leg. Suppose she produces an angular acceleration of 32.5 rad/s2 and her lower leg has a moment of inertia of 0.75 kg⋅m2 . What is the force, in newtons, exerted by the muscle if its effective perpendicular lever arm is 2.1 cm? F =A horizontal platform in the shape of a circular disk rotates on a frictionless bearing about a vertical axle through the center of the disk. The platform has a radius of 3.38 m and a rotational inertia of 289 kg-m? about the axis of rotation. A 58.7 kg student walks slowly from the rim of the platform toward the center. If the angular speed of the system is 1.14 rad/s when the student starts at the rim, what is the angular speed when she is 1.65 m from the center? Number UnitsThree children are riding on the edge of a merry‑go‑round that has a mass of 105 kg and a radius of 1.70 m . The merry‑go‑round is spinning at 20.0 rpm. The children have masses of 22.0, 28.0, and 33.0 kg. If the 28.0 kg child moves to the center of the merry‑go‑round, what is the new angular velocity in revolutions per minute? Ignore friction, and assume that the merry‑go‑round can be treated as a solid disk and the children as point masses. final angular velocity: rpm
- 1. In the figure below, block 1 has a mass of m1 = 450 g and block 2 has a mass of m2 = 500 g. The pulley, which is mounted on a horiztonal axle with negligible friction through its center, has a radius of 5.00 cm. When released from rest, block 2 falls without the cord slipping on the pulley, travelling 75.0 cm before it reaches a speed of 0.300 m/s. What is the rotational inertia of the pulley? m2A 1.0 kg ball and a 2.0 kg ball are connected by a 1.1-m-long rigid, massless rod. The rod is rotating cw about its center of mass at 20 rpm. What torque will bring the balls to a halt in 5.6 s? Express your answer in newton-meters to two significant figures. ΠΑΣΦ T = ? N.mProblem 1: A small rubber wheel is used to drive a large pottery wheel. The two wheels are mounted so that their circular edges touch. The small wheel has a radius of 6.5 cm and accelerates at the rate of 7.5 rad/s2 , and it is in contact with the pottery wheel (radius 24.0 cm ) without slipping. Part A Calculate the angular acceleration of the pottery wheel. Part B Calculate the time it takes the pottery wheel to reach its required speed of 70 rpm .