At some instant in the motion of a lamina in its own (Ox, y) plane the displacement from one of its points P to another point Q is (–5i+10j) cm. If the velocity of P is (7i – 2j) cm s-1 and the velocity of Q has x-component 5 cms-1, determine (i) the angular velocity of the lamina, and (ii) the velocity of Q.

At some instant in the motion of a lamina in its own (Ox, y) plane the displacement from one of its points P to another point Q is (–5i+10j) cm. If the velocity of P is (7i – 2j) cm s-1 and the velocity of Q has x-component 5 cms-1, determine (i) the angular velocity of the lamina, and (ii) the velocity of Q.

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

If D rotates at angular velocity of 8rad/s clockwise and angular velocity of rod ab 5rad/s clockwise, while acceleration of point A is 19.20 m/s^2 to the right, what is the angular acceleartion of rod ab?
For the mechanism in the image below, the end A of the bar is moving downward along the slotted guide with a constant velocity VA = 1.7 m/s. If r = 0.5 m, determine the angular velocity W of bar AB when = 34° . Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point and proper unit. B Your Answer: Answer ω, α units A 0 A y
For the disk rolling without slipping, if its radius r = 2.0 m, and its angular velocity w = 5.6 rad/s, determine the magnitude of the linear velocity of point B. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point and proper unit. B Your Answer: Answer 45° r No slipping units
The electric fan is mounted on a swivel support such that the fan rotates about the z axis at a constant rate of w₂ = 1 rad/s and the fan blade is spinning at a constant rate wę = 54 rad/s. 6 = 45° for the motion. (Figure 1) Figure W: @₂ 1 of 1 Part A Determine the x, y, and z components of the angular velocity of the blade using scalar notation. Express your answers in radians per second to three significant figures separated by commas. (w) x, (w)y, (w) x = Submit Request Answer Part B (a)x, (a)y, (a)₂ = Submit Provide Feedback ΑΣΦ Determine the x, y, and z components of the angular acceleration of the blade using scalar notation. Express your answers in radians per second squared to three significant figures separated by commas. V— ΑΣΦ Request Answer vec ↓↑ vec ? M rad/s ? rad/s² Next >
A motor (which is not shown in the figure) rotates the rod OB about the z-axis. The torque applied by the motor is given as T = 0.4 Nm. The rod OB is rotating at 3 rad/s at that instant which R = 0.4 m. And a rope attached to the slider A is let out at the constant rate of 0.25 m/s. What is the angular velocity after 10s?(Please neglect the mass of rod OB).
Need only a handwritten solution only (not a typed one).
The constant angular acceleration of the rotating disk is 12 rad/s . The angular velocity of the disk is 24 rad/s clockwise when t = 0. Determine the total angle turned by the disk between t = 0 and t = 4sec. the answer is 48 rad. show your solution.
I need the answer quickly
Please do this carefully
For a rotating disk given that: w = 2 rad/s. CW a = 4 rad/s2, CW determine the acceleration at A у @ , a |A в B
-10 10 40 a. Find the volume of the parallelepiped whose edges are represented by A = 2i - 3j + 4k, ii. B = 1+ 2) - k, C = 31 - 1 + 2k . b. The angular velocity of a rotating rigid body about an axis of rotation is given by ai = 4i +j - 2k. Find the linear velocity of a point P on the body whose position vector relative to a point on the axis of rotation is 2i-3j+k. ii. Find the moment of inertia tensor from the given picture. 300 mm P.T.O. iv. Given point P = (1, -2, 3) and vector A = yz i+x1- yx k , express this vector in cylindrical coordinate system. V. a. Show that the contraction of the outer product of the tensors AP and B, is an invariant. b. Show that every tensor can be expressed as the sum of two tensors, one of which is symmetric and the other skew-symmetric in a pair of covariant or contra variant indices. vi. The 4-oz top with radius of gyration about its spin axis of 0.62 in. is spinning at the rate p = 3600 rev/min in the sense shown, with its spin axis making an angle…