# Homework#1 - Department of Mechanical Engineering

## Transcription

Homework#1 - Department of Mechanical Engineering

Eastern Mediterranean University Faculty of Engineering Department of Mechanical Engineering Rigid Body Dynamics (MENG233) Instructor: Assistant Professor Dr. Mostafa Ranjbar Assistant: Sadegh Mazloomi Homework #1 Submission Deadline: 15th April 2015 Q1‐ A train starts from rest at station A and accelerates at 0.5 m/s2 for 60 s. Afterwards it travels with a constant velocity for 15 min. It then decelerates at 1 m/s2 until it is brought to rest at station B. Determine the distance between the stations. Q2- The position of a particle on a straight line is given by S=(t3-9t2+15t) ft where t is in seconds. Determine the position of the particle when t=6s and the total distance it travels during the 6-s time interval. Hint: Plot the path to determine the total distance traveled. Q3- A golf ball is struck with a velocity of 80 ft/s as shown. Determine the distance d to where it will land. Q4- When the motorcyclist is at A, he increases his speed along the vertical circular path at the rate of (ݒሶ = (0.3t) ft/s2) where t is in seconds. If he starts from rest at A, determine the magnitudes of his velocity and acceleration when he reaches B. Q5- A toboggan is traveling down along a curve which can be approximated by the parabola y 0.01x 2 . Determine the magnitude of its acceleration when it reaches point A, where its speed is v A 10m / s and it is increasing at the rate of vA 3m / s 2 . Q6- Determine the displacement of the block B if A is pulled down 4 ft. Q7- At what rate, and in which direction must weight A move if weight B is to fall at a rate of 0.3 m/s? Q8- Cars A and B are traveling around the circular race track. At the instant shown, A has a speed of 90 ft/s and is increasing its speed at the rate of 15 ft/s2 whereas B has a speed of 105 ft/s and is decreasing its speed at 25 ft/s2. Determine the relative velocity and relative acceleration of car A with respect to car B at this instant. Q9- At the instant shown, cars A and B travel at speeds of 70 mi/h and 50 mi/h, respectively. If B is increasing its speed by 1100 mi/h2, while A maintains a constant speed, determine the velocity and acceleration of B with respect to A. Car B moves along a curve having a radius of curvature of 0.7 mi.