19–29. The turntable T of a record player has a mass of0.75 kg and a radius of gyration k, = 125 mm. It is turningfreely at w, = 2 rad/s when a 50-g record (thin disk) falls onit. Determine the final angular velocity of the turntable justafter the record stops slipping on the turntable.150 mmwr = 2 rad/s

Given: The mass of the turntable is M1=0.75 kg The radius of gyration of the turntable is kT=125 mm…

Answered: 19–29. The turntable T of a record…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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19-26 The double pulley consists of two wheels which are attached to one another and turn at the same rate. The pulley has a mass of 15 kg and a radius of gyration of = 110 mm. if the block at A has a mass of 40 kg and the container at B has a mass of 85 kg, including its contents, determine the speed of the container when t = 3s after it is released from rest.
18-37 The spool has a mass of 20 kg and a radius of gyration of = 160 mm. if the 15 kg block A is released from rest, determine the velocity of the block when it descends 600 mm.
19-31 The 75 kg gymnast lets go of the horizontal bar in a fully stretched position A, rotating with an angular velocity of = 3 rad/s. estimate his angular velocity when he assumes a tucked position B. assume the gymnast at position A and B as a uniform slender rod and a uniform circular disk, respectively.
16-89 If rod CD is rotating with an angular velocity Wcd = 4 rad/s, determine the angular velocities of rods AB and CB at the instant shown.
The wheel has a mass of 100 kg and a radius of gyration of kO = 0.2 m. A motor supplies a torque M = (40u + 900) N #m, where u is in radians, about the drive shaft at O. Determine the speed of the loading car, which has a mass of 300 kg, after it travels s = 4 m. Initially the car is at rest when s = 0 and u = 0°. Neglect the mass of the attached cable and the mass of the car’s wheels
The rod AB has a mass of 20 kg，the mass of the piston A and B are both 5kg. Piston B is attached to a spring of constant k = 1200 N/m. The spring is un-stretched when θ = 0. If the rod is released from rest whenθ = 45° Please find÷ (1) the moment inertia of the rod AB about its mass center G (2)The angular velocity of rod AB at θ = 0° (3）the velocity of piston A at θ = 0° (4) the velocity of Piston B at θ = 0° (hint: regard the piston A, B, rod as a system, during the motion, except the spring, the weight of rod AB, the weight of pistonB also does work). g = 9.8 m/s2
The 30 kg rod is released from rest when theta =0°. The spring is unstretched when theta = 0°. Find the angular velocity of the rod when theta = 30° and length of stretched spring is 1 m.
If the cord is subjected to a horizontal force of P = 150 N, and gear is supported by a fixed pin at O,determine the angular velocity of the gear and the velocity of the 20-kg gear rack in 4 s, starting from rest. The mass of the gear is 50 kg and it has a radius of gyration of k0 = 125 mm. Assume that the contact surface between the gear rack and the horizontal plane is smooth.
If the hub gear H and ring gear R have angular velocities Wh = 5rad/s and Wr = 20rad/s, respectively. Determine the angular velocity
The ball rolls without slipping on the fixed surface as shown. What is the direction of the velocity of point A?a. → b. ↑ c. ↑ d. ↓ e. ↓
At the instant shown, the 200-lb bar rotates clockwise at 4 rad/s. The spring attached to its endalways remains vertical due to the roller guide at C. If the spring has an unstretched length of 2ft and a stiffness of k = 9 lb/ft, determine the angular velocity of the bar the instant it has rotated 39° clockwise.
The platform AB when empty has a mass of 400 kg centre of mass at G1 and natural period of oscillation t1=3.82 s. If a car, having a mass of 1.2 Mg and centre of mass at G2 is placed on the platform, the natural period of oscillation becomes t1=4.58 s. Determine the moment of inertia of the car about an axis passing through G2.

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