. 7. Three vectors a = (3i + 4j), b = (-4i + 3j) ,c = (-3i + 4j) lie on a horizontal plane, II. (i) Determine which of the vectors b ore is perpendicular to a. Two smooth spheres, S and T, each of mass m lie on the plane II. Sphere S is projected along the plane towards sphere T with velocity 5u(i + 2j) so that it collides obliquely with T. At the instant of collision, the line of impact is parallel to the vector a. Given that the coefficient of restitution between CO

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Chapter1: Units, Trigonometry. And Vectors
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Answer i, ii, iii, iv

. 7. Three vectors
CO
a = (3i + 4j), b= (-4i + 3j) ,c = (-3i + 4j)
lie on a horizontal plane, II.
(i) Determine which of the vectors b ore is perpendicular to a.
Two smooth spheres, S and T, each of mass m lie on the plane II. Sphere S is projected along the plane
towards sphere T with velocity 5u(i + 2j) so that it collides obliquely with T. At the instant of
collision, the line of impact is parallel to the vectora. Given that the cocfficient of restitution between
the two spheres is -
Show that
(ii) the component of the initial velocity of S parallel to a isllu.
(iii) the component of the final velocity of S parallel to a is u.
(iv) the magnitude of the impulse excrted by sphere T on sphere S is 3 m
u.
Transcribed Image Text:. 7. Three vectors CO a = (3i + 4j), b= (-4i + 3j) ,c = (-3i + 4j) lie on a horizontal plane, II. (i) Determine which of the vectors b ore is perpendicular to a. Two smooth spheres, S and T, each of mass m lie on the plane II. Sphere S is projected along the plane towards sphere T with velocity 5u(i + 2j) so that it collides obliquely with T. At the instant of collision, the line of impact is parallel to the vectora. Given that the cocfficient of restitution between the two spheres is - Show that (ii) the component of the initial velocity of S parallel to a isllu. (iii) the component of the final velocity of S parallel to a is u. (iv) the magnitude of the impulse excrted by sphere T on sphere S is 3 m u.
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