1. When an airplane touches down at t = 0, a stationary wheel is subjected to a constant angu- lar acceleration a = 110 rad/s² until t = 1 s. (a) What is the wheel's angular velocity at t = 1 s? (b) At 1 = 0, the angle = 0. Determine 9 in radians and in revolutions at t = 1 s. 2. A small box B of mass mkg is placed on a rough horizontal rotating disc. B is r metres from the centre of rotation as shown in Fig. 1 below. The coefficient of friction between the disc and B is u. Find, in terms of u, r and g, the maximum speed v that can be given to B without it slipping.

1. When an airplane touches down at t = 0, a stationary wheel is subjected to a constant angu- lar acceleration a = 110 rad/s² until t = 1 s. (a) What is the wheel's angular velocity at t = 1 s? (b) At 1 = 0, the angle = 0. Determine 9 in radians and in revolutions at t = 1 s. 2. A small box B of mass mkg is placed on a rough horizontal rotating disc. B is r metres from the centre of rotation as shown in Fig. 1 below. The coefficient of friction between the disc and B is u. Find, in terms of u, r and g, the maximum speed v that can be given to B without it slipping.

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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Question

Advanced Applied Mathematics - Circular Motion
1.
When an airplane touches down at
1 = 0, a stationary wheel is subjected to a constant angu-
lar acceleration a = 110 rad/s until / = 1 s.
(a) What is the wheel's angular velocity at t = 1 s?
(b)
At 1 = 0, the angle 0 = 0. Determine 9 in radians
and in revolutions at / = 1 s.
2.
A small box B of mass mkg is placed on a rough horizontal rotating disc.
B is metres from the centre of rotation as shown in Fig. 1 below.
The coefficient of friction between the disc and B is u.
Find, in terms of u, r and g, the maximum speed v that can be given to B without it slipping.
3. One end of a light inextensible string of length L metres is attached to a fixed point C.
A small brass hall Ro

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