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Unformatted text preview: MAE 102 MIDTERM EXAM 1 FALL 2009 1. the two gods rotate, the pin P slides jghe slot in rod AB. In the position (1’: = 6' = 0,
(.6 = w and ab = 0. For this position, ﬁnd 8, 6, 3" and 1“, where r is the distance from A to P.
Give answers in terms of w and L. 2. The pendulum shown consists of a. ball of mass m and a massiess rod of length 2?. The rod rotates about the ﬁxed pin shown, and the rod is released from rest with 9 = 30°. Find 6 and
the tension in the rod when (a) s = —30° ,
(b) a = —90° . 3. Block A is given the constant acceleration an upward. Block B has mass m and slides without friction on block A. The vertical acceleration a0 is chosen so that the acceleration of block B
is horizontal. (a) Find the acceleration of block B and the normal force that block A exerts on block B.
(b) Find or}. (Hint: What is the direction of the acceleration of B relative to A?) Give answers in terms of m, g and ,5. 4. The block of mass m slides without friction on the incline and ,6 = 30°. The spring has
unstretched length .2 and stiffness k = Ting/8. The block is not attached to the spring. The
block is released from rest with the Spring compressed to the length i / 2. Let 9: be the position
of the block on the incline, with 3 measured up the incline from the position where the spring
has length 2. . . "‘1 Q 
(a)The:1mamumvsJueofzis \II: 1} ,. T — Q
12
ii. 39 ﬁlm it T :0 iii. 3 as Int: we; 7‘ 3L iv. 1 v. 32!;  __ ___ (b) The speed of the block when x = 0 is L o i. 315m V}: O ‘13.: 90”" [X 0min 11
. 1:.  "" —"""" ' iii. ﬁm FarPVT— TgfiV} 7 (x ‘1' “a 3 iv. v. M? (c) The value of a: when £ = 0 is
i. 0
ii. — iii. iv. s. w» a... a
X?“ ...
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This note was uploaded on 10/17/2010 for the course MAE 102 taught by Professor Chatterjee during the Spring '08 term at UCLA.
 Spring '08
 Chatterjee

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