A solid homogeneous cylinder of radius r = 0.5m and mass of m = 100kg is rolled up a 0 = 20° %3D incline by a force of P = 350N starting from rest. Compute the velocity vG of the center of mass of the cylinder into 6 seconds of motion. Note: Mass moment of inertia about G is given as IG = (1/2)mr².

A solid homogeneous cylinder of radius r = 0.5m and mass of m = 100kg is rolled up a 0 = 20° %3D incline by a force of P = 350N starting from rest. Compute the velocity vG of the center of mass of the cylinder into 6 seconds of motion. Note: Mass moment of inertia about G is given as IG = (1/2)mr².

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

See similar textbooks

Similar questions

Given: A uniform slender rod is at rest upon a frictionless horizontal surface when a force (F) is applied in the direction shown. Assume that the rod has mass m and length L. A L Horizontal Plane Given that F = 74lb, L = 7.1 ft, mg = 4.6lb, and 0 = 73deg What is the component of acceleration of the mass at point G in the i direction? Answer: Check What is the component of acceleration of the mass at point G in the j direction? Answer: Check What is the component of angular acceleration of the mass in the k direction? (remember your signs) Answer: Check
The 300 kg cylinder shown in the figure is wrapped with rope as shown and released from rest. Find the angular acceleration and the distance travelled by the center of gravity in 3 seconds. rope cylinder. 1 m diameter A W
The plane of the figure represents a horizontal plane. A thin rigid rod at rest is pivoted without friction about a fixed vertical axis passing through O. Its mass moment of inertia is equal to 0.1kg.cm² about O. A point mass of 0.001 kg hits it normally at 200 cm/s at the location shown, and sticks to it. Immediately after the impact, the angular velocity of rad/s (in integer). the rod is O O 10 cm 200 cm/s O
In the system shown, the mass at A is 10 kg and that at B is 5 kg. The mass-moment of inertia of the pulley about point C is 8 kg.m2. At the instant shown, mass A is moving downwards at 5.3 m/s. Find the total kinetic energy of the system. Neglect friction. Write your answer in Joules but do not write the units. 0.15 m B 0.1 m A Answer: Tavlor Te a mn
A uniform rod of mass M = 2.3 kg and length L = 0.2 m, lying on a frictionless horizontal plane, is free to pivot about a vertical axis through one end, as shown. The moment of inertia of the rod about this axis is given by 1/3 ML2. If a force F = 7 N, q = 47° acts as shown, what is the resulting angular acceleration (in rad/s2) about the pivot point?
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 is g=9.81 m/s2. (3) Calculate the angular acceleration of the drum α= ________ (rad/s2) (two decimal places)
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 is g=9.81 m/s2. (1) Calculate the mass moment of inertia of the drum about the point O, IO_______(kgm2) (two decimal places)
Paragraf Stiller Düz 11 In Figure 2, the wheel with mass p (kg) with an inertial radius of kA (mm), M-X.t (N.m) it has been subjected to moment (t seconds). Starting from a stationary state calculate the angular speed of the wheel after t1 seconds. Also, the reaction force that the fixed bearing a exerts on the wheel during movement calculate. (Gravity acceleration will be taken as 9.81 m/s2.) kA= 252 mm p= 13 kg x= 3 t;=2 M Odak
A solid sphere starts from rest at a height of 2.5 meters. rolls down a ramp without slipping, so no friction. The mass of the sphere is 2 kg. It The radius of the sphere is 0.02 m The moment of Inertia of a sphere is: I = (2/5)mr² ) Compute the change in gravitational potential energy when the ball rolls from the top to the bottom of the ramp. Use conservation of energy to compute the angular velocity, oo, in radians/s and the linear velocity in m/s at the end of the ramp. h1
A 2 Mg car has its mass with center at G. Calculate the acceleration of the car if p_k between the road and the wheels is 0.25. The wheel at point A are freely rotates and the driving wheels at point B are slipping. The mass of the wheels is small compared with the total mass of the car. A 0.3m 1.25 0.75
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
A car is moving on a curved horizontal road of radius 100 m with a speed of 20 m/s. The rotating masses of the engine have an angular speed of 100 rad/s in clockwise direction when viewed from the front of the car. The combined moment of inertia of the rotating masses is 10 kg-m². The magnitude of the gyroscopic moment (in N-m) is