Question

QUESTION 2 (25 marks) MEC 1392 / MECH 1302 Dynamics Fig. 2 The 55-kg package at Point A is rolling on a smooth ramp, where the ramp has two circular arcs AB and CD. Section BC is a straight path and the radius of CD is $r = 27$ m. The heights of the ramp at a and b are given as $a = 10$ m and $b = 35$ m. At point A, the package is initially at rest and then rolls freely along the ramp until it reaches point D and lands onto a cart. The air resistance and rolling resistance are ignored. a) Determine the normal component of acceleration at point B. b) Determine the normal force exerted by the ramp on the package at points B and D.

          QUESTION 2 (25 marks)

MEC 1392 / MECH 1302 Dynamics

Fig. 2

The 55-kg package at Point A is rolling on a smooth ramp, where the ramp has two circular
arcs AB and CD. Section BC is a straight path and the radius of CD is $r = 27$ m. The heights
of the ramp at a and b are given as $a = 10$ m and $b = 35$ m. At point A, the package is initially
at rest and then rolls freely along the ramp until it reaches point D and lands onto a cart. The
air resistance and rolling resistance are ignored.
a) Determine the normal component of acceleration at point B.
b) Determine the normal force exerted by the ramp on the package at points B and D.

QUESTION 2 (25 marks)

MEC 1392 / MECH 1302 Dynamics

Fig. 2

The 55-kg package at Point A is rolling on a smooth ramp, where the ramp has two circular
arcs AB and CD. Section BC is a straight path and the radius of CD is r = 27 m. The heights
of the ramp at a and b are given as a = 10 m and b = 35 m. At point A, the package is initially
at rest and then rolls freely along the ramp until it reaches point D and lands onto a cart. The
air resistance and rolling resistance are ignored.
a) Determine the normal component of acceleration at point B.
b) Determine the normal force exerted by the ramp on the package at points B and D.

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