P6F8W

A 30-kg disk with a radius of 0.7 m is pushed against a spring (k=900N/m). At the instant show where the spring is deformed by 0.2 m, the disk is released from rest. kAx Assume that the disk will roll without sliding after release. The coefficient of non-sliding friction between the floor and the disk is 0.3. 1. Which of the following kinematic relationships relating the acceleration of the mass center of the disk a, and its angular acceleration a is correct? a. a, = 0.7a b. 1.4a, = a c. 0.7a, = a d. a,=1.4 ma ma, 2. Given the force diagram of the package, which of the following is the most ideally constructed diagram? lect U www B W(0.7) +0.2kg+ma(0.7)² 17 3. Which of the following equations summing of moments about A is correct and can be used to solve for the angular acceleration of the disk? 8 W(0.7)+0.2k(0.7) = Iga+ma(0.7)² 17 8 C W (0.7) +0.2k(0.7) = fg+ma(0.7) 17 15 0. 17W (0.7) +02k(0.7)-Ig+ma(0.7) 4. What is the total acceleration of the mass center of the disk? 5. What is the…

For the problem related to Fundamental.4, a sketch of the considered system showing and naming (or numbering) every part of the system considered, the respective velocity and acceleration of each, and the frame of reference considered is mandatory. Its absence will automatically make the problem false. Cylinder A, which radius is 16 cm, rolls on the fixed cylinder B, which diameter is 9 cm, without slipping. r₁ mm r₁ mm A @CD D B If the cylinder A is rotating with an angular velocity of 4 rad.s-1, determine the angular velocity of the bar CD.

Do all 3 parts ASAP

A wheel of mass m, radius r and radius of gyration k is rolling along a horizontal road with hub velocity v in the +ve x direction. Brakes are applied to the wheel, providing a torque of -M, slowing the vehicle to rest. Assuming that the wheel rolls without slipping and the hub position starts at x=0, where m = 10 kg, r = 0.85 m, k = 0.595 m, v = 5m/s, M = 21 Nm, g = 9.81 m/s^2 a) Find the constant acceleration, (ax) of the wheel hub b) Find the minimum static coefficient of friction (mu) between the road and the wheel c) Find the stopping distance (smax) and time (tmax)

A hanging mass, M1 = 0.5 kg, is attached by a light string that runs over a frictionless pulley to a mass M2 = 1.5 kg that is initially at rest on a frictionless ramp. The ramp is at an angle of θ = 30.0° above the horizontal and the pulley is at the top of the ramp. Find the magnitude and direction of the acceleration of M1. a. 4.905 m/s2 , upward c. 4.905 m/s2 , upward b. 4.805 m/s2 , downward d. 4.805 m/s2 , downward

P.2) without slip with an angular velocity and acceleration of @ = 7k rad/s and a = 2k rad/s', respectively. As illustrated, a peg Pis constrained to slide within a radial slot in the cyl- inder. At this instant, the peg is a distance r = 0.4 m from the cylinder's center O, and the slot is angled at 0 = 30° with respect to the horizontal. The peg is moving outward with a speed vret = 1.2 m/s and acceleration arel = 0.6 m/s² with respect to the cylinder. Find vp and ap, and express them in the {b1, b2, b3} basis. A cylinder of radius R = 0.8 m is rolling b2 j k

Mechanical Engineering Question

A hollow sphere approaches an incline of angle 30 degrees above the horizontal, and you measure the sphere travels a maximum distance of 5.0 m along the incline. The sphere rolls without slipping during its entire motion. Which of the following best describes the initial center-of-mass linear speed of the sphere? (Moment of inertia of a hollow sphere is I hollow sphere = mr? ) 4.6 m/s 5.0 m/s 5.4 m/s 9.3 m/s 24.3 m/s

Please don't provide  handwritten solution ....

Derive the equations of motion using Lagrange's equations. (I, =mr? ) THE MOTION IS ON THE HORIZONTAL PLANE (NO GRAVITY) Trailer, mass M Cylinder, k1 mass m k2

A drum can rotate about a fixed-point O. The A block is attached to a cord wrapping around the drum. The mass of the drum is md = 100kg and the radius is r = 0.5 m. The radius of gyration of the drum about point O is ko=0.3 m. The mass of the block is mb= 20kg. The block is released from rest. The acceleration due to gravity g=9.81 m/s2 .   (2) ) If the mass moment of inertia of the drum about point O is IO, and the angular acceleration of the drum is α, select the correct moment equation of the whole drum-block system about the point O._____________       A. mbgr=rmb(rα)   B. 0   C. mbgr=Ioα +rmb(rα)   D. mbgr=Ioα

Harlgw Cylinder エ:Mg The 65 kg man at right is trapped inside a section of large pipe. If that's not bad enough, the pipe begins to roll, from rest, down a 35 m long, 180 incline! The pipe has a mass of 180 kg and a diameter of 1.2 m. (Assume the man's presence inside the pipe has a negligible effect on the pipe 's rotational inertia.) The coefficient of friction between the pipe and the ground is (0.5, 0.4). -RO Motion Information Free-Body Diagram Event 1: Event 2: 「り t = 2=35m 02 = V2 = 02 = SF a = a2 = (moM) 9 aj = a2 = Mathematical Analysis34 at g sino 4:4F - (mt M) gcoS 2: (m + M)g sino - 'F = (mr M) a zて-Ix two eluntions %3D こ :zC =I« : 'FR = MR*< = MR (4) F = Ma to Sdve for FFL IV-95 Chele tun max

Answer the question in full details, thank you very much: A spherically symmetric object, with radius R = 0.70 m and mass M = 1.5 kg, rolls without slippingacross a horizontal floor, with velocity V = 3.0 m/s. It then rolls up an incline with an angle of inclinationAngle = 44 deg and comes to rest a distance d = 0.92 m up the incline, before reversing direction and rollingback down. Find the moment of inertia of this object in kg-m^2 about an axis through its centre of mass.

I need unique and correct answer. Don't try to copy from anywhere. Do not give answer in image formet and hand writing