please show full steps: Consider the ?gure below. Assume that the ring is massle

Question

please show full steps:

Consider the ?gure below. Assume that the ring is massless. Rope 1 makes an angle of 40 with the

vertical, rope 2 makes an angle of 20 with the vertical and rope 3 is vertical. Find the tensions in the three massless

ropes supporting the sign of mass M = 10kg. if the mass/ring/rope system is in an elevator

accelerating upward at a rate of 5 m/s^2

.

problem 2:

Consider a block of mass 5 kg on a horizontal surface. A pulling force is directed at an angle of 30?

above the horizontal as shown in the ?gure below. The coe?cient of static friction between the surface and the block

is 0.4 and the coe?cient of kinetic friction between the surface and the block is 0.25.

A) If the pulling force has a size of 20 N and the surface is frictionless, ?nd the acceleration of the block.

B) If the pulling force has a size of 50 N and the surface is frictionless, ?nd the acceleration of the block.

PLEASE DO THIS PROBELM TWICE

ONE with friction and one without friction

Consider the ?gure below. Assume that the ring is massless. Rope 1 makes an angle of 40 with the vertical, rope 2 makes an angle of 20 with the vertical and rope 3 is vertical. Find the tensions in the three massless ropes supporting the sign of mass M = 10kg. if the mass/ring/rope system is in an elevator accelerating upward at a rate of 5 m/s^2 Consider the figure below. Assume that the ring is massless. Rope 1 makes an angle of 40 degree with the vertical, rope 2 make an angle of 20 degree with the vertical and rope 3 is vertical. Find the tensions in the three massless ropes supporting the sign of mass M = 10 kg Consider a block of mass 5 kg on a horizontal surface. A pulling force is directed at an angle of 30? above the horizontal as shown in the ?gure below. The coe? cient of static friction between the surface and the block is 0.4 and the coe? cient of kinetic friction between the surface and the block is 0.25. If the pulling force has a size of 20 N and the surface is frictionless, ?nd the acceleration of the block. If the pulling force has a size of 50 N and the surface is frictionless, ?nd the acceleration of the block. ONE with friction and one without friction

Explanation / Answer

in x -direction

T1sin(40) = T2sin(20)

T1 = 0.532*T2

in y-direction

T1cos(40) + T2*cos(20) = m*(g+a)


0.4075*T2+ 0.94*T2 = 10*(9.8+5)

T2 = 109.83 N

T1 = 58.3 N

T3 = m*(g+a) = 10*(9.8+5) = 148 N

2)

A) a = F*cos(30)/m = 20*cos(30)/5 = 3.464 m/s^2

B) a = F*cos(30)/m = 50*cos(30)/5 = 8.66 m/s^2

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