Engineering Mechanics: Dynamics (14th Edition)
14th Edition
ISBN: 9780133915389
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 21.4, Problem 44P
To determine
The vertical reactions for the given instant.
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Q 3. A frame B is rotated 90 degree about the z-axis, then translated 3 and 5 units relative to the
n- and o-axes respectively, then rotated another 90 degree about the n-axis, and finally, 90
degree about the y-axis. Find the new location and orientation of the frame.
O 1 0 1
1 0
1
B =
- 1
1
1
Find the resultant of the vectors and it's direction.
Vector A (2,6) and B (8,1)
3. Find the resultant force and its direction. Use the Ccmponent method.
100 N
110N
30
3ON
160N
Chapter 21 Solutions
Engineering Mechanics: Dynamics (14th Edition)
Ch. 21.1 - Show that the sum of the moments of inertia of a...Ch. 21.1 - Determine the moment of inertia of the cone with...Ch. 21.1 - Determine moment of inertia Iy of the solid formed...Ch. 21.1 - Determine the moments of inertia Ix and Iy of the...Ch. 21.1 - The density of the material is . Express the...Ch. 21.1 - Prob. 6PCh. 21.1 - Prob. 7PCh. 21.1 - Prob. 8PCh. 21.1 - The weight of the cone is 15 lb, the height is h =...Ch. 21.1 - The density of the material is .
Ch. 21.1 - Prob. 11PCh. 21.1 - Determine the moment of inertia Ixx of the...Ch. 21.1 - Determine the product of inertia Iyz of the...Ch. 21.1 - Prob. 14PCh. 21.1 - Prob. 15PCh. 21.1 - Determine the moment of inertia of the rod about...Ch. 21.1 - Prob. 17PCh. 21.1 - Prob. 18PCh. 21.1 - Prob. 19PCh. 21.1 - Prob. 20PCh. 21.1 - Prob. 21PCh. 21.3 - If a body contains no planes of symmetry, the...Ch. 21.3 - Prob. 23PCh. 21.3 - Prob. 24PCh. 21.3 - The large gear has a mass of 5 kg and a radius of...Ch. 21.3 - Prob. 26PCh. 21.3 - Prob. 27PCh. 21.3 - Prob. 28PCh. 21.3 - Prob. 29PCh. 21.3 - Prob. 30PCh. 21.3 - Prob. 31PCh. 21.3 - Prob. 32PCh. 21.3 - The 20-kg sphere rotates about the axle with a...Ch. 21.3 - The 200-kg satellite has its center of mass at...Ch. 21.3 - Prob. 35PCh. 21.3 - Prob. 36PCh. 21.3 - Prob. 37PCh. 21.3 - Prob. 38PCh. 21.3 - Prob. 39PCh. 21.3 - Prob. 40PCh. 21.4 - Derive the scalar form of the rotational equation...Ch. 21.4 - Prob. 42PCh. 21.4 - Prob. 43PCh. 21.4 - Prob. 44PCh. 21.4 - The disk has a weight of 15 lb. Neglect the weight...Ch. 21.4 - Prob. 46PCh. 21.4 - Prob. 47PCh. 21.4 - Prob. 48PCh. 21.4 - Prob. 49PCh. 21.4 - Prob. 50PCh. 21.4 - Prob. 51PCh. 21.4 - The 5-kg circular disk is mounted off center on a...Ch. 21.4 - Prob. 53PCh. 21.4 - Prob. 54PCh. 21.4 - Prob. 55PCh. 21.4 - The 4-kg slender rod AB is pinned at A and held at...Ch. 21.4 - Prob. 57PCh. 21.4 - Prob. 58PCh. 21.4 - Prob. 59PCh. 21.4 - Show that the angular velocity of a body, in terms...Ch. 21.4 - Prob. 61PCh. 21.6 - The gyroscope consists of a uniform 450-g disk D...Ch. 21.6 - Prob. 63PCh. 21.6 - Prob. 64PCh. 21.6 - Prob. 65PCh. 21.6 - When viewed from the front of the airplane, the...Ch. 21.6 - Prob. 67PCh. 21.6 - Prob. 68PCh. 21.6 - Prob. 69PCh. 21.6 - Prob. 70PCh. 21.6 - Prob. 71PCh. 21.6 - Prob. 72PCh. 21.6 - Prob. 73PCh. 21.6 - Prob. 74PCh. 21.6 - Prob. 75PCh. 21.6 - Prob. 76PCh. 21.6 - Prob. 77PCh. 21.6 - Prob. 78P
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- 5. Find the new location of point G; initially at G = [3 0 -1] If, (i) it is rotated by 60deg. about z-axis and then translated by 3 units along y-axis, and (ii) it is first translated by 3 units along y-axis and then rotated by 60deg bout z-axis. Are the two locations same? Check and justify, whether the final position in two cases is same or different.arrow_forward1. Find the components of . 2. A Find the components of T2- (Reminder: cos(a) =) 3. Find the angle between and 2. 4. Find the magnitude of the projection of r2 along/parallel to T = 6m 30° 40° Z 8 60° r₁= r₂ = √2 120° 45⁰ a 0 = Y= 2 = 9 m optionalarrow_forwardFind the angle between the vectors u (2,2,-1) and v (5,-3,2).arrow_forward
- i need the answer quicklyarrow_forwardGiven vectors: A = ( cos p + 3z) ap - (2r + 4 sin p) ap + (r - 2z) az B = -sin p a, + cos (p az Find a unit vector perpendicular to both A and B at P (2, T/2, 1) a. 0.487 a, + 0.228 a, + 0.843 a, O b. -0.843 a, + 0.228 ag - 0.487 az Oc. 0.843 a, + 0.228 ap + 0.487 az d. -0.487 ap - 0.228 ap + 0.843 azarrow_forwardFor vectors A = - 10i + 5j + 12k and B = − 3i − 7j + 7k, find the projection of A along the direction of B Submit Questionarrow_forward
- Given the three vectors A = i, B = i- j, and C = k Find A.(BXC).arrow_forwardQ 2. The following frame B was moved a distance of d = (5,2,6)' . Find the new location of the frame relative to the reference frame. о 1 2 4 1 B = - 1 6 1arrow_forwardif a and b are vectors given by a = (î- 3ĵ+ 5k) and b = (2î+ 4ĵ + 6k), find a. a+b b. a - b c. a - b (the dot product of a and b or "a dot b")arrow_forward
- sec. 4-2 Position and Displacement •1 The position vector for an electron is 7 (5.0 m)i – (3.0 m)j + (2.0 m)k. (a) Find the magnitude of r. (b) Sketch the vector on a right-handed coordinate system.arrow_forwardx = 4 my = 0.6 mF = 5 kNtheta = 47 degrees Find the Moment of F (in kN-m) about A. Which way will the pole rotate, clockwise or counterclockwise?arrow_forwardDetermine the angle between vector AB and vector AC. C (8, 8, 4) m АВ AC »B TAB (4, 3, 2) m (6, 1, –2) marrow_forward
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