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QA1- KINEMATICS In the final stages of a moon landing, a lunar module descends under retro-thrust of its descent engine to a height of s = 4 m above the lunar surface where it has a downward velocity of 4 m/s. Calculate the impact velocity with the moon's surface if: a) The engine is cut off at this point, there is no atmosphere, and lunar gravity is 6 of the earth's 9.81 gravity (so a = - b) The acceleration under the combined effect of gravity and retro-thrust is the following function of height a = s/2. Hint: Acceleration is constant in part (a) but not in part (b). The positive direction is up.

QA1- KINEMATICS In the final stages of a moon landing, a lunar module descends under retro-thrust of its descent engine to a height of s = 4 m above the lunar surface where it has a downward velocity of 4 m/s. Calculate the impact velocity with the moon's surface if: a) The engine is cut off at this point, there is no atmosphere, and lunar gravity is 6 of the earth's 9.81 gravity (so a = - b) The acceleration under the combined effect of gravity and retro-thrust is the following function of height a = s/2. Hint: Acceleration is constant in part (a) but not in part (b). The positive direction is up.

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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QA1- KINEMATICS In the final stages of a moon landing, a lunar module descends under retro-thrust of its descent engine to a height of s = 4 m above the lunar surface where it has a downward velocity of 4 m/s. Calculate the impact velocity with the moon's surface if: a) The engine is cut off at this point, there is no atmosphere, and lunar gravity is / of the earth's 9.81 gravity (so a = 2m/s²). 6. b) The acceleration under the combined effect of gravity and retro-thrust is the following function of height a = s/2. Hint: Acceleration is constant in part (a) but not in part (b). The positive direction is up.
Transcribed Image Text:QA1- KINEMATICS In the final stages of a moon landing, a lunar module descends under retro-thrust of its descent engine to a height of s = 4 m above the lunar surface where it has a downward velocity of 4 m/s. Calculate the impact velocity with the moon's surface if: a) The engine is cut off at this point, there is no atmosphere, and lunar gravity is / of the earth's 9.81 gravity (so a = 2m/s²). 6. b) The acceleration under the combined effect of gravity and retro-thrust is the following function of height a = s/2. Hint: Acceleration is constant in part (a) but not in part (b). The positive direction is up.
QA2- 2-D Motion An unmanned vehicle follows a curved path, beginning at O and ending at A, of length 18 m. At O the speed of the vehicle is 12 m/s and it has slowed to 6 m/s at A. The tangential deceleration of the vehicle is proportional to the distance from O. a) Write an equation for tangential acceleration. b) Find the constant of proportionality in your equation. c) If the resultant acceleration at A is 10 m/s, determine the radius of the curved path at A. Hint: Don't forget that the vehicle has both tangential and centripetal acceleration. In part (c), you should aim to write an expression for the resultant acceleration with radius as the only unknown.
Transcribed Image Text:QA2- 2-D Motion An unmanned vehicle follows a curved path, beginning at O and ending at A, of length 18 m. At O the speed of the vehicle is 12 m/s and it has slowed to 6 m/s at A. The tangential deceleration of the vehicle is proportional to the distance from O. a) Write an equation for tangential acceleration. b) Find the constant of proportionality in your equation. c) If the resultant acceleration at A is 10 m/s, determine the radius of the curved path at A. Hint: Don't forget that the vehicle has both tangential and centripetal acceleration. In part (c), you should aim to write an expression for the resultant acceleration with radius as the only unknown.
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