1) A 19 N horizontal force F pushes a block weighing 6.0 N against a verticall w

Question

1) A 19 N horizontal force F pushes a block weighing 6.0 N against a verticall wall. The coefficient of static friction between the wall the block is 0.68 and the coefficient of kinetic friction is 0.48. Assume that the block is not moving initially.

a) Determine if the block will move.

b) In unit vector notation, what is the force exerted on the block by the wall.

2) A ?conical pendulum? has a small object, the bob, moving at the end of a cord in a level, horizontal circle at constant speed. (The cord ?sweeps out? a cone as the bob rotates.) The mass of the bob is 0.035 kg, the cord is 0.90 m long and has negligible mass, and the bob makes a circular path of circumference 0.92 m.

a) Determine the tension in the string.

b) Determine the speed of the bob.

Explanation / Answer

Here ,

F = 19 N

W = 6 N

us = 0.68

uk = 0.48

now,

maximum frictional force = us * N

maximum frictional force = 0.68 * 19

maximum frictional force = 12.92 N

as maximum frictional force > W (weight of the block)

Hence, the block will not move .

b)

Now, the force exterted by wall on the block is

Fwall = -20 i + 6 j

the force on block from wall in vector is -20 i + 6 j

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