1. The velocity of a particle moving along the x-axis is defined by v-x³-4x² + 6x where v is in ft/s and x is in ft. Compute the value of the acceleration when x =2ft.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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PLEASE ANSWER NO.3 . SHOW THE DETAILED SOLUTION. THANK YOU AND GOD BLESS.

SUBJECT: DYNAMICS OF RIGID BODIES

CE 2111 DYNAMICS OFF RIGID BODIES MQ 1
Solve each problem neatly and completely.
Write all numerical answers to the nearest 3rd
decimal and with the correct simplified units
otherwise your answers will not be considered.
1. The velocity of a particle moving along the
x-axis is defined by v=x³-4x² + 6x where v is
in ft/s and x is in ft. Compute the value of
the acceleration when x=2ft.
2. The position of a particle moving along a
horizontal line is given by the equation
S-41²-21t² + 18t-4, where s is the
distance from the origin and t is the time in
seconds. The particle is 3 feet to the right
of the origin when t= Is. Determine:
a.
the time when the velocity is zero
b. the acceleration when t=25, and
3. A stone is projected vertically upward
from the top of a 120-m high tower at a
velocity of 36 m/s.
Determine the maximum height it.
attained by the stone measured
from the ground.
b. How long will it take the stone to
reach the top?
How long will it take the stone to
reach the ground?
d. With what velocity will it hit the
ground?
Transcribed Image Text:CE 2111 DYNAMICS OFF RIGID BODIES MQ 1 Solve each problem neatly and completely. Write all numerical answers to the nearest 3rd decimal and with the correct simplified units otherwise your answers will not be considered. 1. The velocity of a particle moving along the x-axis is defined by v=x³-4x² + 6x where v is in ft/s and x is in ft. Compute the value of the acceleration when x=2ft. 2. The position of a particle moving along a horizontal line is given by the equation S-41²-21t² + 18t-4, where s is the distance from the origin and t is the time in seconds. The particle is 3 feet to the right of the origin when t= Is. Determine: a. the time when the velocity is zero b. the acceleration when t=25, and 3. A stone is projected vertically upward from the top of a 120-m high tower at a velocity of 36 m/s. Determine the maximum height it. attained by the stone measured from the ground. b. How long will it take the stone to reach the top? How long will it take the stone to reach the ground? d. With what velocity will it hit the ground?
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