Dynamics MCB2043 Tutorial #4 September 2013 Semester Page 1 of 2

Mechanical Engineering Department

Dynamics MCB2043

Tutorial 4: Kinetics of Particles: Force and Acceleration

Question 1: If the 50-kg crate starts from rest and achieves a velocity of v = 4 m/s when it

travels a distance of 5 m to the right, determine the magnitude of force P acting on the crate.

(13-4)

Fig. Question 1

Question 2: The 400-kg mine car is hoisted up the incline using the cable and motor M. For

a short time, the force in the cable is F = (3200t2) N, where t is in seconds. If the car has an

initial velocity v1 = 2 m/s at s = 0 and t = 0,

a) Determine the distance it moves up the plane when t = 2 s.

b) Determine its velocity when t = 2 s. (13-20/21)

Fig. Question 2

Question 3: The 5-kg collar A is sliding around a smooth vertical guide rod. At the instant

shown, the speed of the collar is v = 4 m/s, which is increasing at 3 m/s2. Determine the

normal reaction of the guide rod on the collar, and force P at this instant (13-55).

Dynamics MCB2043 Tutorial #4 September 2013 Semester Page 2 of 2

Fig. Question 3

Question 4: The 2-kg spool S fits loosely on the inclined rod for which the coefficient of

static friction is�� � 0.2.If the spool is located 0.25 m from A, determine the minimum

constant speed the spool can have so that it does not slip down the rod. (13-59)

Fig. Question 4

Question 5: At the instant � � 600, the boy’s center of mass G has a downward speed vG =

3 m/s. Determine the rate of increase in his speed and the tension in each of the two

supporting cords l = 3 m of the swing at this instant. The boy has a weight of 300 N. Neglect

his size and the mass of the seat and cords. (13-64)

Fig. Question 5