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Minimum angle...

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Minimum angle at which a pushing force should be applied t so that it can move a body ? explain and derive the equation

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If a body has to be pushed along +X-axis. Then in which direction the force should be applied?

Q. A pulling force of

100 N

is acting at an angle of

30^{0}

with the horizontal on a body of mass

50 kg

placed on a rough horizontal surface. Will the same force cause the body to move if it is a pushing force for the body? If not, what should be the value of the force (acting at the same angle) to cause the body to just move? Take

g = 10 {m/s}^{2}

.

Q. A pulling force of

100 N

is acting at an angle of

30^{0}

with the horizontal on a body of mass

50 kg

placed on a rough horizontal surface. Will the same force cause the body to move if it is a pushing force for the body? If not, what should be the value of the force (acting at the same angle) to cause the body to just move? Take

g = 10 {m/s}^{2}

.

Q. A block of mass m lying on a horizontal surface (coefficient of static friction =

μ_{s}

) is to be brought into motion by a pulling force F. At what angle

θ

with the horizontal should the force F be applied so that its magnitude is minimum? Also find this minimum magnitude.

Q. A plane is inclined at an angle

θ

with the horizontal. A body of mass

m

rests on it, if the coefficient of friction is

μ

, then find the minimum force that has to be applied on the body to make the body just move up the inclined plane.

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