33 to 36 Two bodies of unequal mass, places at rest on a frictionless surface, a

Question

33 to 36

Two bodies of unequal mass, places at rest on a frictionless surface, are acted on by equal horizontal forces for equal times. Just after these forces are removed, the body of grater mass will have: A) the greater speed B) the greater acceleration C) the smaller momentum D) the greater momentum E) the same momentum as the other body A meter stick is pivoted at a point a distance a from its center and swings as a physical pendulum. Of the following values for a, which results in the shortest period of oscillation? A) a = 0.1 m B) a = 0.5 m C) a = 0.4 m D) a = 0.2 m E) a = 0.3 m A particle oscillating in simple harmonic motion is: A) never in equilibrium because it is in motion B) never in equilibrium because there is a force C) in equilibrium at the ends of its path because its velocity is zero there D) in equilibrium at the center of its path because the acceleration is zero there E) in equilibrium at the ends of its path because the acceleration is zero there A woman lifts a barbell 2.0 m in 5.0 s. If she lifts in the same distance in 10 s, the work done by her is: A) four times as great B) two times as great C) the same D) half as great E) one-fourth as great

Explanation / Answer

here,

33)

as the force are equal on both masses ,

as the forces are removed , the body of greater mass will have C) the smaller momentum

34)

T = 2 * pi * sqrt( Isupport /( m * g *Lcm))

T = 2 * pi * sqrt( ( m * 1^2 /12 + m * a^2) /( m * g * a))

T = 2 * pi * sqrt((1/12 + a^2)/g*a)

A)

for a = 0.1 m

T = 1.94 s

B)

for a = 0.5 m

T = 1.64 s

C)

for a = 0.4 m

T = 1.56 s

D)

for a = 0.2 m

T = 1.58 s

so, the shortest value of T is for a = 0.4 m

35)

a particl eoscillating in SHM
C) in equilibrium at the ends of its path because its velocity is zero there

36)

as the force applied and displacement is same for both parts

work done , W = F . S

so, the work done is C) same

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