INSTITUTE OF SPACE TECHNOLOGY
DEPARTMENT OF AERONAUTICS AND ASTRONAUTICS
305902 Dynamics
Session: Fall 2024 Assessment: Assignment-3 Prepared by: Dr. Mariyam Sattar
Max Marks: 10 Assign Date: 07-01-2025 Due/Submission Date: 1 week
Note: - All questions are compulsory
- FBD and KD is compulsory in every question
- All Questions carry equal marks except for Question #3
Question # 1:
The 2-Mg truck is traveling at 15 m/s when the brakes on all its wheels are applied, causing it to
skid for 10 m before coming to rest. Determine the constant horizontal force developed in the
coupling C, and the frictional force developed between the tires of the truck and the road during
this time. The total mass of the boat and trailer is 1 Mg.
Question # 2:
A man having the mass of 75 kg sits in the chair which is pin connected to the frame BC. If the
man is always seated in an upright position, determine the horizontal and vertical reactions of the
chair on the man at the instant Ɵ=45 o. At this instant he has a speed of 6 m /s, which is increasing
at 0.5 m/s2.
Question # 3:
The 5-lb collar slides on the smooth rod, so that when it is at A it has a speed of 10 ft/s. If the
spring to which it is attached has an unstretched length of 3 ft and a stiffness of k = 10 lb/ft,
determine the normal force on the collar and the acceleration of the collar at this instant.
Question # 4:
The crate has a mass of 150 kg and rests on a surface for which the coefficients of static and
kinetic friction are µs = 0.3 and µk = 0.2, respectively. If the motor M supplies a cable force of F =
(8t2 + 20) N, where t is in seconds, determine the power output developed by the motor when . t =
5s
Question # 5:
A rocket having a total mass of 8 Mg is fired vertically from rest. If the engines provide a
constant thrust of 300 kN, determine the power output of the engines as a function of time.
Neglect the effect of drag resistance and the loss of fuel mass and weight.
