A vertical rectangular object of uniform mass M=14.4kg has sides a=0.8m and b=3.8m. It is pivoted from point O as shown in the figure below. If a constant force of F=87N, making an angle of 3=37° with the diagonal, is applied, determine the angular acceleration of the rectangle at the instant shown in the figure using Sl units. Express your answer with two decimal places. Please use the convention: Clockwise (+). Counterclockwise (-) when expressing your answer. Hint : The moment of inertia of the rectangle about an axis of rotation possing through its center of mass is 12 Hint2: Don't forger the force of gravity! Take g=9.80 m/s.
Q: As the figure shows, a homogeneous rod of mass 1kg and length L = 2 m is nailed to the wall at its…
A: We will first write an expression for torque and use it to find the net torque due to three given…
Q: A lawn mower blade of length 0.50 m rotates about its center. Are the magnitudes of the linear…
A: Length, l = 0.50 m We are required to calculate the magnitude of linear displacement (∆x) and…
Q: An approximate model for a ceiling fan consists of a cylindrical disk with four thin rods extending…
A:
Q: An engineer applies a force of magnitude F=15 N to the tip of a vertical lever. The force has an…
A:
Q: uppose you exert a force of 227 N tangential to a 0.295 m radius 75.0 kg grindstone (a solid disk).…
A:
Q: An object travels along a path as shown below. A center of rotation is identified for the path.…
A: The unit vector is the vector which have unit magnitude and shows the direction of the vector. For a…
Q: Two big bugs, Buzz and Crunchy each of mass 0.65 kg, are siting on a spinning disk on a horizontal…
A: mass of each bug (m) = 0.65 kg radius of disk (r) = 4.5 m distance of buzz (r') = r2= 4.52= 2.25 m…
Q: Suppose you exert a force of 212 N tangential to a 0.295 m radius 75.0 kg grindstone (a solid disk).…
A:
Q: A motorcyclist is traveling along a road and accelerates for 5.68 s to pass another cyclist. The…
A:
Q: A thin- walled cylinder of radius 50 cm, mass 1.0 kg, is mounted on a frictionless, horizontal axle…
A: radius = 50 cm = 0.5 m mass = 1 kg mass of object = 2 kg Tension = M (g-a) = 2 (9.8- a) = 19.6 - 2a…
Q: The reel of cable has a mass of 450 kg and a radius of gyration of kA = 0.75 m. The force P =…
A: The solution of the question is given below:
Q: Two 80 N forces are applied to opposite corners of a rectangular plate of length b and width a, as…
A:
Q: You are looking down from above. Everything is moving in the horizontal plane. The axis of rotation…
A: Let the mass of the cylinder be M, the mass of the rubber ball be m, the radius of the cylinder be…
Q: Problem 1 Two blocks, one of mass m₁ = 3.0 kg.and the other of mass m₂ = 9.0 kg, are slung over a…
A:
Q: Suppose you exert a force of 192 N tangential to a 0.255 m radius 75.0 kg grindstone (a solid disk).…
A: Concept : Torque = r × F Torque = moment of inertia × angular momentum
Q: A solid cylinder of mass 10 kg rotates about an axle through its center O. A force F1 = 5.0 N is…
A:
Q: A solid sphere, shown in Figure 3, has radius R = 0.25 m and mass M = 20 kg. The line AB passes…
A:
Q: In the figure here, a cylinder having a mass of 2.6 kg can rotate about its central axis through…
A: Solution:-Given thatF1=3.7 NF2=3.1 NF3=1.5 NF4=8.6 Nr=7.1 cm =0.071 mR=18 cm=0.18 mClockwise…
Q: Two big bugs, Buzz and Crunchy each of mass 0.65 kg, are siting on a spinning disk on a horizontal…
A:
Q: The uniform solid block in the figure has mass 33.9 kg and edge lengths a = 0.618 m, b = 1.79 m, and…
A:
Q: The answers are provided; please explain the purpose of each equation and why they were used…
A:
Q: Two big bugs, Buzz and Crunchy each of mass 0.65 kg, are siting on a spinning disk on a horizontal…
A:
Q: Suppose you exert a force of 207 N tangential to a 0.275 m radius 75.0 kg grindstone (a solid disk).…
A:
Q: A uniform spherical shell of mass M = 12.0 kg and radius R = 0.710 m can rotate about a vertical…
A: We will use Law of conservation of energy : 12mv2+12Iω2+12Isω22=mgh v= ωr=ω2R I of pulley = 0.0980…
Q: A rigid body is made of three identical rods, each with length L = 0.775 m, fastened together in the…
A:
Q: 2. A see-saw consists of a uniform beam of length L and mass M pivoted in the center. Two children…
A: Moment of inertia = mr2 Moment of inertia of uniform rod about center of mass = (1/12) ML2
Q: A thin- walled cylinder of radius 50 cm, mass 1.0 kg, is mounted on a frictionless, horizontal axle…
A: radius = 50 cm mass = 1 kg mass of object = 2 kg using , Tension = M (g-a) T = 2(9.8-a)T = 19.6 - 2a…
Q: A potter's disk spins from rest up to 3.8 rev/s in 15 s. The disk has a mass 3.5 kg and radius 24.0…
A:
Q: A rotating wheel is supported on a turntable as shown. The wheel has an angular velocity of 54.0…
A:
Step by step
Solved in 5 steps with 5 images
- Please answer C, D, E The angular position of a rod varies as 20.7t2 radians from time t = 0. The rod has two beads on it as shown in the following figure, one at r1 = 13 cm from the rotation axis and the other at r2 = 32 cm from the rotation axis. (Note: figure may not be drawn to scale.) (a) What is the instantaneous angular velocity (in rad/s) of the rod at t = 3 s? (Indicate the direction with the sign of your answer. Round your answer to at least one decimal place.) 1.24.2 rad/s, ANSWERED (b) What is the angular acceleration (in rad/s2) of the rod at t = 3 s? (Indicate the direction with the sign of your answer.) 41.4 rad/s2, ANSWERED (c) What are the tangential speeds of the beads (in m/s) at t = 3 s? vt, 1 =16.146 m/s, ANSWERED vt, 2 =____m/s (d)What are the tangential accelerations of the beads at t = 3 s? (Enter the magnitudes in m/s2.) at, 1 = ______ m/s2 at, 2 = ______ m/s2 (e) What are the centripetal accelerations of the beads at t = 3 s? (Enter the magnitudes…Needs Complete typed solution with 100 % accuracy.A diver (such as the one shown in the figure(Figure 1)) can reduce her moment of inertia by a factor of about 3.5 when changing from the straight position to the tuck position. Figure 1 of 1 Part A If she makes 2.0 rotations in 1.1 s when in the tuck position, what is her angular speed (rev/s) when in the straight position? Express your answer using three significant figures. Submit VE ΑΣΦ Provide Feedback Request Answer ? rev/s Next >
- HELP WITH THIS PLEASE, DO NOT DO b ONLY THE OTHERIn the figure below, wheel A of radius A = 14 cm is coupled by belt B to wheel C of radius c 20 cm. The angular speed of wheel A is increased from rest at a constant rate of 1.6 rad/s². Find the time needed for wheel C to reach an angular speed of 150 rev/min, assuming the belt does not slip. S B C TGSuppose you exert a force of 172 N tangential to a 0.295 m radius 75.0 kg grindstone (a solid disk). (Give your answers to at least 2 decimal places.) (a) What torque (in N · m) is exerted? (Enter the magnitude.) 50.74 N. m (b) What is the angular acceleration (in rad/s?) assuming negligible opposing friction? (Enter the magnitude.) 15.55 rad/s? (c) What is the angular acceleration (in rad/s?) if there is an opposing frictional force of 22.6 N exerted 1.75 cm from the axis? (Enter the magnitude.) 15.44 ]× rad/s²
- Use the worked example above to help you solve this problem. A merry-go-round modeled as a disk of mass M = 8.50 x 10¹ kg and radius R = 2.30 m is rotating in a horizontal plane about a frictionless vertical axle (see figure). (a) After a student with mass m = 80.0 kg jumps onto the merry-go-round, the system's angular speed decreases to 2.10 rad/s. If the student walks slowly from the edge toward the center, find the angular speed of the system when she reaches a point 0.490 m from the center. Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. rad/s (b) Find the change in the system's rotational kinetic energy caused by her movement to the center. X Your response differs from the correct answer by more than 10%. Double check your calculations. J (c) Find the work done on the student as she or= 0.490 m.To study torque experimentally, you apply a force to a beam. One end of the beam is attached to a pivot that allows the beam to rotate freely. The pivot is taken as the origin or your coordinate system. You apply a force of F = Fx i + Fy j + Fz k at a point r = rx i + ry j + rz k on the beam. Part a) Calculate the magnitude of the torque, in newton meters, when the components of the position and force vectors have the values rx = 3.71 m, ry = 0.075 m, rz = 0.085 m, Fx = 1.2 N, Fy = -7.6 N, Fz = 1.2 N. Part b) If the moment of inertia of the beam with respect to the pivot is I = 72 kg˙m^2, calculate the magnitude of the angular acceleration of the beam about the pivot, in radians per second squared.To study torque experimentally, you apply a force to a beam. One end of the beam is attached to a pivot that allows the beam to rotate freely. The pivot is taken as the origin or your coordinate system. You apply a force of F = Fx i + Fy j + Fz k at a point r = rx i + ry j + rz k on the beam. 1. Enter a vector expression for the resulting torque, in terms of the unit vectors i, j, k and the components of F and r. 2. Calculate the magnitude of the torque, in newton meters, when the components of the position and force vectors have the values rx = 3.03 m, ry = 0.035 m, rz = 0.085 m, Fx = 2.8 N, Fy = 4.8 N, Fz = 5.8 N. 3. If the moment of inertia of the beam with respect to the pivot is I = 71 kg˙m2, calculate the magnitude of the angular acceleration of the beam about the pivot, in radians per second squared.
- Suppose you exert a force of 192 N tangential to a 0.255 m radius 75.0 kg grindstone (a solid disk). (Give your answers to at least 2 decimal places.) (a)What torque (in N · m) is exerted? (Enter the magnitude.) (b) What is the angular acceleration (in rad/s2) assuming negligible opposing friction? (Enter the magnitude.) (c) What is the angular acceleration (in rad/s2) if there is an opposing frictional force of 21.6 N exerted 2.50 cm from the axis? (Enter the magnitude.)A solid cylindrical pulley with a mass of 1.60 kg and a radius of 0.290 m is free to rotate about its axis. An object of mass 0.270 kg is attached to the pulley with a light string (the figure below). Assume the string does not stretch or slip. "Calculate the tension in the string. (Express your answer to three significant figures.) Submit N Calculate the angular acceleration of the pulley. (Express your answer to three significant figures.) rad/s² Submit fThe uniform solid block in the figure has mass 38.6 kg and edge lengths a = 0.543 m, b = 1.75 m, and c = 0.118 m. Calculate its rotational inertia about an axis through one corner and perpendicular to the large faces. Rotation axis Number i Units