Situation I
Dynamics of Rigid Bodies, Proposed Examination QuestionsPrepared
for Technological Institute of the Philippines Quezon CityBy
Richard S Regidor01 September 2011
Situation I
The loaded ore bucket B, in the figure has a mass of 1 ton and
is moved along a level overhead track by a force P. The total
resistance to motion F is 450 N. The weight of wheel A and of the
bar may be neglected. When the bucket is accelerated 2.4 m/s2,
calculate
1. the required force Pa. 2030 Nc. 2850 Nb. 1895 Nd. 2135 N2.
the angle of the bar with the vertical a. 14.25 degc. 16.04 degb.
13.75 degd. 15.48 deg
3. the tension T in the bar a. 20 kN c. 8 kNb. 12 kN d. 10
kN
4. Calculate the acceleration a given body A in the figure when
MA = 50 kg, P = 450 N and fA =0.40.Ans. a = 1.322 m/s2
a. 1.32 m/s2c. 0.95 m/s2b. 1.20 m/s2d. 1.50 m/s25. The two
masses are released from rest , How fast are they moving when the 5
k-kg mass has fallen 0.2 m? What is the tension in the cable after
the masses are released? Ans. v = 1.297 m/s , T = 28 N
a. 2.15 m/s2b. 1.30 m/sc. 3.05 m/s2d. 1.54 m/s2
Situation II. A stunt driver wants to drive a car through the
circular loop of radius R = 5 m.
6. Determine the minimum velocity vO at which the car enter the
loop and coast through without losing contact with the track.
a. 16.98 m/sb. 14.32 m/sc. 12.27 m/sd. 15.66 m/s 7. What is the
cars velocity at the top of the loop?
a. 7.0 m/sb. 13.28 m/sc. 3.45 m/sd. 9.5 m/s Situation IV
The position of a point during the interval of time from t = 0
to t = 6 s is given by m.8. what is the maximum velocity during
this interval of time? a. 21 m/sb. 28 m/sc. 25 m/sd. 31 m/s
9. what time does it occur a. 4 sec b. 6 secc. 5 sec d. 7
sec
10. What is the acceleration when the velocity is a maximum?
a. 6.21 m/s/sb. 5.0 m/s/sc. 8.7 m/s/sd. 0
11. The snow petrel takes of with a constant acceleration. If it
requires a distance s = 4m and is moving at 6 m/s when it lifts
off, how much time does its takeoff require?
a. 3.32 secc. 5.10 secb. 5.53 secd. 1.33 sec12. An automobile
can accelerate or decelerate at 9.8 km/hr per second and has a
maximum speed of 144 km/hr. If it starts from rest , what is the
shortest time that it can travel 1 km if it is to come to rest at
the end of the kilometer run?
a. 40 sec c. 33 secb. 12 secd. 52 sec13.Block A has a mass of 50
kg, B has a mass of 40 kg and fA =0.3. Find the acceleration of
A.
a. 3.32 m/s^2c. 0.82 m/s^2b. 2.12 m/s^2d. 1.09 m/s^2
14. A ball is projected upward with an initial velocity of 120
ft/sec. One second later, another is projected upward with the same
initial velocity. Compute the time after the first ball is
discharged until the two balls pass. a. 5.22 secc. 3.35 secb. 4.23
secd. 6.11 sec
15.A small block slides freely down the quadrant shown.
Determine the distance x1.
a. 11.2 ftc. 9.8 ftb. 12.5 ftd. 8.18 ft
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