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ENGR - 2506 Dynamics _ Assignment set 1, Assignments of Dynamics

Laurentian UniversityDynamics

ENGR - 2506 Dynamics _ Assignment set 1

Typology: Assignments

2020/2021

Available from 12/16/2021

p-patel
p-patel 🇨🇦

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ENGR-2506: Dynamics
Problem set no. 1
1. Small steel balls fall from rest through the opening at Aat the steady rate of two per second.
Find the vertical separation hof two consecutive balls when the lower one has dropped 3
meters. Neglect air resistance.
Answer(s): h= 2.61 m
2. At the bottom Aof the vertical inside loop, the magnitude of the total acceleration of the
airplane is 3g. If the airspeed is 800 km/h and is increasing at the rate of 20 km/h per second,
calculate the radius of curvature ρof the path at A.
Answer(s): ρ= 1709 m
pf2

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ENGR-2506: Dynamics Problem set no. 1

  1. Small steel balls fall from rest through the opening at A at the steady rate of two per second. Find the vertical separation h of two consecutive balls when the lower one has dropped 3 meters. Neglect air resistance.

Answer(s): h = 2.61 m

  1. At the bottom A of the vertical inside loop, the magnitude of the total acceleration of the airplane is 3g. If the airspeed is 800 km/h and is increasing at the rate of 20 km/h per second, calculate the radius of curvature ρ of the path at A.

Answer(s): ρ = 1709 m

  1. At the bottom of a loop in the vertical plane at an altitude of 400 m, the airplane P has a horizontal velocity of 600 km/h and no horizontal acceleration. The radius of curvature of the loop is 1200 m. For the radar tracking at O, determine the recorded values of ¨r and θ¨ at this instant.

Answer(s): ¨r = 12.15 m/s^2 , θ¨ = 0.0365 rad/s^2

  1. The particle P moves along the space curve and has a velocity ~v = (4~i − 2 ~j − ~k) m/s for the instant shown. At the same instant, the particle has an acceleration ~a whose magnitude is 8 m/s^2. Calculate the radius of curvature ρ of the path for this position and the rate ˙v at which the speed is increasing.

Answer(s): ρ = 7.67 m, ˙v = 7.52 m/s^2