A uniform 75-kg cube is attached to a uniform 70-kg circular shaft as shown, and a couple M with a constant magnitude of 20 N.m is applied to the shaft. Knowing that r = 100 mm and L = 300 mm, determine the time required for the angular velocity of the system to increase from 1000 rpm to 2000 rpm.

Q: 125 mm B The blade of an oscillating fan and the rotor of its motor shown have a total weight of 1…

A: Given Data Mass, m=1Kg The radius of gyration, K=0.100m Width of the fan, b=0.125m N1=2000 rpm

Q: The 200-mm-radius brake drum is attached to a larger Bywheel. The total mass moment of inertia of…

A:

Q: 2) A slender uniform 30 kg bar is hinged off center and swings down on a vertical plane. In the…

A: Free Body diagram for the given figure is, Consider 2 component of force on the hinge, =Nx & Ny…

Q: The rotor of an electric motor has an angular velocity of 3600 rpm when the load and power are cut…

A: W=121 lb ∑MG=2.5lb.ft k=9in=0.75 ft N=3600rpm We need to find The number of revolutions

Q: A 7.5 kg disk A radius of 0.6 m initially rotating clockwise at 300 rev/min is engaged with an 8.5…

A:

Q: The blade of a portable saw and the rotor of its motor have a total weight of 2.5 lb and a combined…

A: Given data: Rotation of blade,  w1 = 1500 rpm Total weight, W = 2.5 lb. Radius of gyration, kz = 1.5…

Q: 16.97 through 16.100 A drum of 4-in. radius is attached to a disk of 8-in. radius. The disk and drum…

A: The mass of drum and disc is The radius of drum is The radius of disc is The radius of gyration is…

Q: Disk A, of weight 10 lb and radius r = 6 in., is at rest when it is placed in contact with belt BC,…

A: Consider the free body diagram of the disc A as shown below. The torque provided by the friction…

Q: The 38-kg uniform disk A and the bar BC are at rest and the 9-kg uniform disk D has an initial…

A: Write the given data. ωA,i=0ωD,i=2π44060=46.08 rad/sωD,f=2π17660=18.43 rad/smA=38 kgmD=9 kg

Q: Two uniform cylinders, each of mass m = 6 kg and radius r = 125 mm, are connected by a belt as…

A: Given data: The mass of the cylinders is m=6 kg. The radius of the cylinder is r=125 mm. The angular…

Q: 150 mm A 5 kg 1 m 250 mm Your Answer: 30⁰ 4 The double pulley shown has a mass of 16.3 kg and a…

A:

Q: The 7-kg uniform slender bar BD is attached to bar AB and a wheel of negligible mass which rolls on…

A: The reaction at D. Given: The mass of the slender bar BD is m=7 kg. The angular velocity of the bar…

Q: The essential structure of a certain type of aircraft turn indicator is shown. Each spring has a…

A: Given: The spring constant, k = 500 N/m The mass of the disc, m = 200 g =0.2 kg The radius of the…

Q: A wheel of radius r and centroidal radius of gyration k is released from rest on the incline shown…

A: Consider the free body diagram of the wheel as shown below.

Q: D ww Answer: C B O -0.4 m- 0.4 m Two identical slender rods AB and BC are welded together to form an…

A: The maximum angle of rotation = 58 degreesThe angle made by rod AB with horizontal = 27 degrees

Q: The rotor of an electric motor has an angular velocity of 4500 rpm when the load and power are cut…

A:

Q: 4. The link EF of mass 2 kg is welded at point A to a link ABC of mass 2 kg, which rotates about a…

A:

Q: A long ladder of length l, mass m, and centroidal mass moment of inertia I is placed against a house…

A: Understand that the velocity of point B will be directed vertically downwards while the velocity of…

Q: The flywheel of a small punch rotates at 300 rpm. It is known that 1800 ft Ib of work must be done…

A: Given Data: The initial speed of the flywheel is, N1=300 rpm. The work done to punch a hole is,…

Q: A radius drum is connected to a disk of radius ra. The combined mass of the disc and the drum is m…

A: To calculate torque of a circular object, multiply the moment of inertia of the body and angular…

Q: Each of the gears A and B has a mass of 2.4 kg and a radius of gyration of 60 mm, while gear C has a…

A: Given Data: Mass of gear A and B is m =  2.4 kg. Radius of gyration of gear A and B is k = 60 mm.…

Q: A four-bladed airplane propeller has a mass of 160 kg and a radius of gyration of 800 mm. Knowing…

A: I=mk2                           where I=mass moment of inertia,m=mass and k=radius of…

Q: The steel roll shown has a mass of 1230 kg, a centroidal radius of gyration of 150 mm, and is lifted…

A:

Q: A flywheel and shaft together have a mass of 800 kg. The combined mass has a radius of gyration of…

A:

Q: A rope drum of diameter 850 mm and mass 1000 kg is used in a machine lifting procedure. The drum…

A:

Q: Work and Energy: A wheel has a mass of 24 kg, a radius of gyration of 235 mm about its axle and is…

A: At equilibrium, ∑FX=max         1122cos23°-f=maf=1122cos23°-ma ∑FY=01122sin23°+R=24×9.81R=-202.9…

Q: 0.30 m 1.50 m B A|— MA 0.60 m D A slender 3.06 kg rod can rotate in a vertical plane about a pivot…

A:

Q: Identical cylinders of weight and radiusare pushed by a series of moving arms. The coefficient of…

A:

Q: The rotor of an electric motor has an angular velocity of 3520 rpm when the load and power are cut…

A: Given: The angular velocity is N1=3520 rpm. The weight of the rotor is W=110 lb. The radius of…

Q: A disk with mass m and radius R is released from rest at a height h and rolls without slipping down…

A: The disc rolls without slipping.

Q: 2) A slender uniform 30 kg bar is hinged off center and swings down on a vertical plane. In the…

A:

Q: PROBLEM #2 A small clamp B of mass 50 g is attached to a hoop wheel as shown. The hoop has a mass of…

A:

Q: The rotor of an electric motor has an angular velocity of 3570 rpm when the load and power are cut…

A: Given Data The mass of rotor  m=65kgThe radius of gyration , r=175mmFriction couple, M= 4.5NmWhen…

Q: The 80-mm-radius gear shown has a mass of 5 kg and a centroidal radius of gyration of 60 mm. The…

A: Given: The radius of the gear is r=80 mm=0.08 m. The length of AB is L= 320 mm=0.320 m. The mass of…

Q: A 2.5-kg homogeneous disk of radius 80 mm rotates at the constant rate ω1 = 50 rad/s with respect to…

A: Given, ω1 = 50 rad/s ω2 = 12 rad/s α2 = 8 rad/s2 DC = CE = a = 150 mm = 0.15m CB = b = 120 mm =…

Q: A stationary horizontal plate is attached to the ceiling by means of a fixed vertical tube. A wheel…

A: The weight of the wheel is W=8 lb. The radius of the wheel is a=4 in. The radius of gyration of the…

Q: A semicircular panel with a radius r is attached with hinges to a circular plate with a radius r and…

A: By conservation of angular momentum we can write:→I1.ω1=I2.ω2whereI1,I2 are the initial and final…

Q: Two identical rods AB and BC form an L-shaped assembly. The assembly is pressed against a spring at…

A: Moment of inertia about B, IB=1/2mABl2+1/3mBCl2 position2 V2=WAB(hAB)2+WBC(hBC)2    =WABl/2 sinr…

Q: uniform disc of diameter 315mm and of mass 14 kg is mounted on one end of an arm of length 600…

A:

Free Damped Vibrations

Free vibration is a type of vibration in which the external force is removed after giving the initial displacement to a body/system. In other words, in this type of vibration, force is applied at the initial displacement of the system, and after the initial displacement, force is removed, and the system vibrates at the natural frequency.