LR = 5m, LG = 2.5m and LC = 1.1m Q2. The Skylark family of sounding rockets consisted of a number of variants (denoted Skylark 5, Skylark 7, and Skylark 12 respectively). These are illustrated on Page 3. The data given below is based on that for the rocket motors they used (all manufactured and named by what was Royal Ordinance – now part of Roxel): Raven XI Motor Total mass: 1280 kg Length = LR See Case Table (units are m) Diameter = 0.44 m Goldfinch IIA Motor Total mass: 420 kg Length = LG See Case Table (units are m) Diameter = 0.44 m Cuckoo IV Motor Total mass: 242 kg Length = LC See Case Table (units are m) Diameter = 0.44 m The payload mass which is additional to the motor masses is to be taken as 100 kg. (a) For the configurations of the three rockets shown on Page 3 in Fig. Q2: (i) Determine the Pitching/Yawing moment of inertia of each rocket about the base of each rocket. (ii) Explain how you could then find the the Pitching/Yawing moment of inertia of each rocket about its centre of gravity (calculation not required). (iii) Determine the rolling moment of inertia of each rocket. For calculating pitch/yaw moments of inertia you may assume that each motor may be treated as a uniform rod. For calculating polar moments of inertia, you may assume uniform circular cross-sections. The payload is to be treated as a point mass located on the centreline of the rocket at a distance of 0.3m from the top of the uppermost stage of the rocket. (b) How reasonable would you consider the assumptions made in estimating these moments of inertia?
LR = 5m, LG = 2.5m and LC = 1.1m
Q2. The Skylark family of sounding rockets consisted of a number of variants (denoted Skylark
5, Skylark 7, and Skylark 12 respectively). These are illustrated on Page 3. The data given
below is based on that for the rocket motors they used (all manufactured and named by what
was Royal Ordinance – now part of Roxel):
Raven XI Motor
Total mass: 1280 kg
Length = LR See Case Table (units are m)
Diameter = 0.44 m
Goldfinch IIA Motor
Total mass: 420 kg
Length = LG See Case Table (units are m)
Diameter = 0.44 m
Cuckoo IV Motor
Total mass: 242 kg
Length = LC See Case Table (units are m)
Diameter = 0.44 m
The payload mass which is additional to the motor masses is to be taken as 100 kg.
(a) For the configurations of the three rockets shown on Page 3 in Fig. Q2:
(i) Determine the Pitching/Yawing moment of inertia of each rocket about the base of
each rocket.
(ii) Explain how you could then find the the Pitching/Yawing moment of inertia of each
rocket about its centre of gravity (calculation not required).
(iii) Determine the rolling moment of inertia of each rocket.
For calculating pitch/yaw moments of inertia you may assume that each motor may be
treated as a uniform rod. For calculating polar moments of inertia, you may assume uniform
circular cross-sections. The payload is to be treated as a point mass located on the
centreline of the rocket at a distance of 0.3m from the top of the uppermost stage of
the rocket.
(b) How reasonable would you consider the assumptions made in estimating these
moments of inertia?
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