3. Starting from rest, the cable can be wound onto the drum of the motor at a rate of vA = (3t) m/s, where t is in seconds. Determine the time needed to lift the load 7 m.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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ANSWER NO 3 DRB

Directions:
a) Write your answer in a short bond paper with complete solution (NO REASURE)
b) Final answer should be up to 4 decimal places. BOX your final answer.
c) Capture your work in PORTRAIT
d) Convert it into a single PDF file
1. The motion of a vibrating particle is defined by the position vector r = 10(1 - e-3)i +
(4e-24 sin 15t)j, where r and t are expressed in millimeters and seconds respectively. Determine the
velocity and acceleration when (a) t = 0, (b) t = 0.5 s.
2. The velocities of commuter trains A and B are as shown. Knowing that the speed of each train is
constant and that B reaches the crossing 10 min after A passed through the same crossing, deter-mine
(a) the relative velocity of B with respect to A, (b) the distance between the fronts of the engines 3 min
after A passed through the crossing.
66 km/h
48 km/h
3. Starting from rest, the cable can be wound onto the drum of the motor at a rate of vA = (3t) m/s,
where t is in seconds. Determine the time needed to lift the load 7 m.
Transcribed Image Text:Directions: a) Write your answer in a short bond paper with complete solution (NO REASURE) b) Final answer should be up to 4 decimal places. BOX your final answer. c) Capture your work in PORTRAIT d) Convert it into a single PDF file 1. The motion of a vibrating particle is defined by the position vector r = 10(1 - e-3)i + (4e-24 sin 15t)j, where r and t are expressed in millimeters and seconds respectively. Determine the velocity and acceleration when (a) t = 0, (b) t = 0.5 s. 2. The velocities of commuter trains A and B are as shown. Knowing that the speed of each train is constant and that B reaches the crossing 10 min after A passed through the same crossing, deter-mine (a) the relative velocity of B with respect to A, (b) the distance between the fronts of the engines 3 min after A passed through the crossing. 66 km/h 48 km/h 3. Starting from rest, the cable can be wound onto the drum of the motor at a rate of vA = (3t) m/s, where t is in seconds. Determine the time needed to lift the load 7 m.
C
4. The 0.8-Mg car travels over the hill having the shape of a parabola. When the car is at point A, it is
traveling at 9 m>s and increasing its speed at 3 m/s. Determine both the resultant normal force and
the resultant frictional force that all the wheels of the car exert on the road at this instant. Neglect the
size of the car.
= 20 (1
-80 m
5. A girl, having a mass of 15 kg, sits motionless relative to the surface of a horizontal platform at a
distance of r= 5 m from the platform's center. If the angular motion of the platform is slowly increased
Transcribed Image Text:C 4. The 0.8-Mg car travels over the hill having the shape of a parabola. When the car is at point A, it is traveling at 9 m>s and increasing its speed at 3 m/s. Determine both the resultant normal force and the resultant frictional force that all the wheels of the car exert on the road at this instant. Neglect the size of the car. = 20 (1 -80 m 5. A girl, having a mass of 15 kg, sits motionless relative to the surface of a horizontal platform at a distance of r= 5 m from the platform's center. If the angular motion of the platform is slowly increased
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