Engineering Mechanics: Statics & Dynamics (14th Edition)
14th Edition
ISBN: 9780133915426
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 18.5, Problem 51P
To determine
The angle
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Below is a projection of the inertia ellipsoid in the b1-b2 plane (b1 and b2 are unit vectors). All points on the ellipsoid surface represent moments of inertia in various directions.
The distance R is related to the distance D such that R = md. Determine m.
Below is a projection of the inertia ellipsoid in the b1-b2 plane (b1 and b2 are unit vectors). All points on the ellipsoid surface represent moments of inertia in various directions.
Determine I_aa ( moment of inertia) for direction n_a (this is a unit vector).
The problems are generally based on the following model:
A particular spacecraft can be represented as a single axisymmetric rigid body B. Let n₂
be inertially fixed unit vectors; then, 6, are parallel to central, principal axes. To make
the mathematics simpler, introduce a frame C where n₂ = ĉ₁ = b; initially.
6₁
Assume a mass distribution such that
J =₁₁• B* •b₁ = 450 kg - m²
I = b² •Ï¾˜ • b₂ = b¸ •Ï¾* •b¸ = 200 kg - m²
K
J-I
C³ =r₁₁ = r₁₁
Chapter 18 Solutions
Engineering Mechanics: Statics & Dynamics (14th Edition)
Ch. 18.4 - Determine the kinetic energy of the 100-kg object.Ch. 18.4 - The 80-kg wheel has a radius of gyration about its...Ch. 18.4 - The uniform 50-lb slender rod is subjected to a...Ch. 18.4 - The uniform 50-kg slender rod is at rest m the...Ch. 18.4 - The 50-kg wheel is subjected to a force of 50 N....Ch. 18.4 - If the uniform 30-kg slender rod starts from rest...Ch. 18.4 - The 20-kg wheel has a radius of gyration about its...Ch. 18.4 - At a given instant the body of mass m has an...Ch. 18.4 - The wheel is made from a 5-kg thin ring and two...Ch. 18.4 - The wheel is made from a 5-kg thin ring and two...
Ch. 18.4 - A force of P = 60 N is applied to the cable, which...Ch. 18.4 - A force of P = 20 N is applied to the cable, which...Ch. 18.4 - A force of P = 20 N is applied to the cable, which...Ch. 18.4 - The double pulley consists of two parts that are...Ch. 18.4 - The double pulley cons1sts of two parts that are...Ch. 18.4 - Prob. 9PCh. 18.4 - The spool has a mass of 40 kg and a radius of...Ch. 18.4 - Prob. 11PCh. 18.4 - Determine the velocity of the 50-kg cylinder after...Ch. 18.4 - The 10-kg uniform slender rod is suspended at rest...Ch. 18.4 - Prob. 14PCh. 18.4 - The pendulum consists of a 10-kg uniform disk and...Ch. 18.4 - A motor supplies a constant torque M = 6 kNm to...Ch. 18.4 - The center O of the thin ring of mass m is given...Ch. 18.4 - Prob. 18PCh. 18.4 - Prob. 19PCh. 18.4 - If P = 200 N and the 15-kg uniform slender rod...Ch. 18.4 - A yo-yo has a weight of 0.3 lb and a radius of...Ch. 18.4 - Prob. 22PCh. 18.4 - Prob. 23PCh. 18.4 - Prob. 24PCh. 18.4 - The 30-kg disk is originally at rest, and the...Ch. 18.4 - Two wheels of negligible weight are mounted at...Ch. 18.4 - Prob. 27PCh. 18.4 - The 10-kg rod AB is pin connected at A and...Ch. 18.4 - The 10-lb sphere starts from rest at = 0 and...Ch. 18.4 - Motor M exerts a constant force of P = 750 Non the...Ch. 18.4 - Prob. 31PCh. 18.4 - The linkage consists of two 6-kg rods AB and CD...Ch. 18.4 - The two 2-kg gears A and B are attached to the...Ch. 18.4 - The linkage consists of two 8-lb rods AB and CD...Ch. 18.4 - The linkage consists of two 8-lb rods AB and CD...Ch. 18.5 - F187. If the 30-kg disk is released from rest when...Ch. 18.5 - The 50-kg reel has a radius of gyration about its...Ch. 18.5 - The 60-kg rod OA is released from rest when = 0....Ch. 18.5 - Prob. 10FPCh. 18.5 - The 30-kg rod is released from rest when = 45....Ch. 18.5 - Prob. 12FPCh. 18.5 - Prob. 36PCh. 18.5 - Prob. 37PCh. 18.5 - An automobile tire has a mass of 7 kg and radius...Ch. 18.5 - The spool has a mass of 20 kg and a radius of...Ch. 18.5 - The spool has o mass of 20 kg and a radius of...Ch. 18.5 - A uniform ladder having a weight of 30 lb is...Ch. 18.5 - Prob. 44PCh. 18.5 - The 12-kg slender rod is attached to a spring,...Ch. 18.5 - Prob. 46PCh. 18.5 - The 40-kg wheel has a radius of gyration about its...Ch. 18.5 - The assembly consists of two 10-kg bars which are...Ch. 18.5 - The assembly consists of two 10-kg bars which are...Ch. 18.5 - The compound disk pulley consists of a hub and...Ch. 18.5 - Prob. 51PCh. 18.5 - Prob. 52PCh. 18.5 - The two 12-kg slender rods are pin connected and...Ch. 18.5 - If the 250-lb block is released from rest when the...Ch. 18.5 - The slender 15-kg bar is initially at rest and...Ch. 18.5 - If the chain is released from rest from the...Ch. 18.5 - Prob. 57PCh. 18.5 - Prob. 58PCh. 18.5 - The slender 6-kg bar AB is horizontal and at rest...Ch. 18.5 - Prob. 60PCh. 18.5 - Prob. 61PCh. 18.5 - The 50-lb wheel has a radius of gyration about its...Ch. 18.5 - The system consists of 60-lb and 20-lb blocks A...Ch. 18.5 - The door is made from one piece, whose ends move...Ch. 18.5 - Prob. 65PCh. 18.5 - Prob. 66PCh. 18.5 - Prob. 67PCh. 18.5 - The system consists of a 30-kg disk A, 12-kg...Ch. 18.5 - The pendulum of the Charpy impact machine has a...Ch. 18.5 - Prob. 2RPCh. 18.5 - The drum has a mass of 50 kg and a radius of...Ch. 18.5 - The spool has a mass of 60 Kg and a radius of...Ch. 18.5 - Prob. 5RPCh. 18.5 - At the Instant shown, the 50-lb bar rotates...Ch. 18.5 - Prob. 7RPCh. 18.5 - Prob. 8RP
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