A hoop of radius 95mm and mass 100g is rotated via a capacitor driven power source with P(t)=1.61e-1.3tW. (since it is a hoop, it is a special case, and r=rG) Assuming the hoop is accelerated from rest, determine the rotational velocity after t=8.5s.  [rad.s-1] Determine the rotational speed of the hoop after t=8.5s if the power source acts to roll the particle from rest on a horizontal surface. [rad.s-1]

Q: An unbalanced small motor with me-1.2 kg.m is directly bolted to a machine with a mass of 500 kg.…

A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you.…

Q: Find the sum of the three harmonic motions: x1(t)=10cos(wt + 2)  x2(t)=15sin(wt + 2) x3(t)=…

A:

Q: For the system turning clockwise, write down the equation of motion and find its natural frequency.…

A:

Q: C 5 сm

A:

Q: find the value of θ (t)=.....?from the image below

A:

Q: Given mass1=10kg Jo=20kg-m2 mass2=15kg, a is half of b. The rocker is 30 centimeters long. k1=10N/m,…

A:

Q: 2 kN 4m A 2m 2m MA=2 kN.m O MA=-8 kN.m MA=4 kN.m O None of them

A: Given data: Magnitude of the force = 3 kN Need to determine the moment about the point A.

Q: Write the differential equations for the vibratory system shown below. Assume there's no friction…

A: For the solution refer below images.

Q: Find trequencies arnd mode shapes of the thso 9/ian systems, assuming m=z ton/m hz 3m lest lant (b)…

A: (a) as per our guidelines. I am giving the answer of 1st question. if you want to know the solution…

Q: Use the following figure to determine the spin rate so that the top will maintain 45 degrees. The…

A:

Q: In an oscillatory motion of a simple pendulum, the ratio of the maximum angular acceleration, 0"max,…

A:

Q: Give an equation for the acceleration of an object executing simple harmonic motion with frequency w…

A:

Q: Q1 ( k₁=1500 N m For the system shown in Figure 1, m₁ = 35 kg, m₂ = 20 kg, N and k2=2000 If the…

A: The values are m1=35 kg, m2=20 kg, k1=1500 N/m, k2=2000 N/m. The initial conditions of mass m1 is…

Q: A particle of mass 'm' is moving in a potential v(x) = -ax? + bx4 . Find the time period and…

A: Given data: The potential equation, Vx=-ax2+bx4. Calculate the conservative force.…

Q: Determine the equivalent force of a single cylinder engine, and the dynamic amplitude at 200 rpm.…

A: The given information in the problem is shown in the following attached image:

Q: A textile machine with a mass of 5000 kg must be isolated from transmitting force to thefoundation.…

A: The given data is shown below,

Q: Use the curve to determine the current the motor/gearmotor will draw while lifting the 0.5 kg mass.

A: Force acting on the shaft F = 0.5 kg considering perpendicular distance r = 1 cm   Torque acting on…

Q: a)    Find the periodic-time (T) of a simple pendulum if its natural frequency (ω_n= 54+ 21) rad/s…

A: Given- A simple pendulum 1) Natural frequency ωn= 75 rad/s The time period (T)  =2πωn==2×π75 = 0.84…

Q: Name: DW CRin ENGR 2141: Homework 12: Relative Velocity 2 Due Wednesday Feb. 16 1. For the linkage…

A: For solution refer below images.

Q: A block attached to a spring, oscillates on a frictionless horizontal surface with a period of 0.3…

A:

Q: A block attached to a spring, oscillates on a frictionless horizontal surface with a period of 0.45…

A: Given: The time period, t = 0.45 S The initial amplitude, x = A The final amplitude, X = - A/2

Q: The following vibration system oscillates with a small angle. x = 0.6m, y = 1.8m, k = 18N/m. From…

A: Given Data: x=0.6 my=1.8 mk=18 N/m∆=0.2 mω=30 rad/sθ=2 radmA=10 kg   To Find: 1. The natural…

Q: Determine the manipulator linear and angular velocity for the 3-DOF articulated arm using Jacobian…

A: Given data -

Q: Consider a bob attached to a vertical string. At t = 0, the bob is displaced to a new position where…

A: Given Data t=0, x=-A    [θ=-8°]

Q: An automobile is found to have a natural frequency of 20 rad/s without passengers and 17.32 rad/s…

A:

Q: ibrations Question The governing equation of motion of a single degree–of–freedom (SDOF) system is…

A: Given that, 5x'' t+20x' t+1800x t=10 cos15t+30sin5t    ................ (1) The solution of the…

Q: Q1) the torque on the crankshaft of engine is given by : T(N.m) = 25320 + 12600sin20 – 15650cos20…

A:

Q: Suppose that the mass in a mass-spring-dashpot system with m=20, c = 19 and k = 3 is set in motion…

A: In mass-spring-dashpot system, the values are Ther initial condition are

Q: Determine potential energy, kinetic energy, the equation of motion and the natural frequency.

A: Given: To find: Equation of motion

Q: An electric motor drives a coaxial gearbox through a clutch. The motor armature has a mass of 50kg…

A:

Q: To perform a kinematic analysis of the system below you create the equation ac = ag+ac/Bn+ ac/Bt as…

A: Angular velocity is the rotational velocity of a body. It is equal to the angular distance covered…

Q: Given mass1=10kg Jo=20kg-m2 mass2=15kg, a is half of b. The rocker is 30 centimeters long. k1=10N/m,…

A:

Q: A belt driven system has an input at pulley A, which drives pulley B, which is attached with a solid…

A:

Q: Determine the rotational frequency in the time period: 20 <t< 200 s and 150 < t < 480 s o (rad/s)…

A: Given : To find : Rotational frequency in time period

Q: inertia (in kg.m) of a flywheel t

A: Given data, Maximum fluctuation of KE in an engine has been calculated to be= 2600 JAverage speed…

Q: Convert a displacement of 2 mils peak 1,775 CPM to velocity in in./sec-peak.

A: Given data as per questionDisplacement,D=2 mils peak to peak f= 1,775 CPM

Q: An area-variation-based capacitive accelerometer, as shown in Figure below, has the following…

A:

Q: e 707 2k M شب M X2 2k ht derive the equations of motion. Gssume the solutions x₁ = Asinwt and X₂ =…

A: Step 1:period of oscillation  Step 2: Step 3: Step 4:

Q: A uniform dek of radius rand mass can roll without slipping on a platform which rotates about the hn…

A: 1. In the above figure: Bar has single degree of freedom that is rotation about an axis. Wheel has 2…

Q: given in the figure a mass of three arcsand a transformation element, you can find the equivalence…

A: given data m=2 kg, k=10N/m, c=0.1 Ns/m

Q: 1) A 300-g mass is hung from acoiled spring and it stretches 20 cm.it is then streched an additional…

A: Given                      Mass, m = 300 kg     Total displacement = 35 cm

Q: The ball shooting mechanism from a pinball machine is shown. The motor provides the torque shown.…

A:

Q: 8. The motion of the piston in the engine of an automobile is approximately simple harmonic. If the…

A:

Q: • Lengths: O2A-4 in., O3B=8 in, BC=5 in, O2O3-4 in. and offset c=10 in. • Angles: 8-60° and = 45°…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: ● Wn. K. Amplitude ratio Z/Y. ● b & delta. W 2 kg Structure D 24 mm

A:

Q: The natural frequency of a spring-mass system on earth is w₁. The natural frequency of this system…

A: As given in the question, The natural frequency of the spring-mass system on earth = ωn Relation…

Fluid Dynamics

The study of the flow of gases and liquids, usually in and around solid surfaces, is known as fluid dynamics in physics and engineering. Fluid dynamics, for example, can be used to evaluate the movement of air through an airplane wing or the surface of a vehicle. It can also be used in ship design to increase the speed at which ships pass through water.