A makeshift swing is constructed by makings loop in one end of a rope and tying the other end to a tree limb. A child is silting in the loop with the rope hanging vertically when the child's father pulls on the child with a horizontal force and displaces the child to one side. Just before the child is released from rest, the rope makes an angle of 15° with the vertieal and the tension in the rope is 280 N. (a) How much does the child weigh? (b) What is the magnitude of the (horizontal) force of the father on the child just before the child is released? (c) If the maximum horizontal force the father can exert on the child is 93 N, what is the maximum angle with the vertical the rope can make while the father is palling horizontally?
A makeshift swing is constructed by makings loop in one end of a rope and tying the other end to a tree limb. A child is silting in the loop with the rope hanging vertically when the child's father pulls on the child with a horizontal force and displaces the child to one side. Just before the child is released from rest, the rope makes an angle of 15° with the vertieal and the tension in the rope is 280 N. (a) How much does the child weigh? (b) What is the magnitude of the (horizontal) force of the father on the child just before the child is released? (c) If the maximum horizontal force the father can exert on the child is 93 N, what is the maximum angle with the vertical the rope can make while the father is palling horizontally?
A makeshift swing is constructed by makings loop in one end of a rope and tying the other end to a tree limb. A child is silting in the loop with the rope hanging vertically when the child's father pulls on the child with a horizontal force and displaces the child to one side. Just before the child is released from rest, the rope makes an angle of 15° with the vertieal and the tension in the rope is 280 N. (a) How much does the child weigh? (b) What is the magnitude of the (horizontal) force of the father on the child just before the child is released? (c) If the maximum horizontal force the father can exert on the child is 93 N, what is the maximum angle with the vertical the rope can make while the father is palling horizontally?
A small block of mass m = 4.75 kg is fired with an initial speed v₁ = 7 m/s along a
horizontal section of frictionless track, as shown in the top portion of the figure. The
block then moves along the frictionless semicircular vertical track of radius R = 1m.
B
Part 1
m
-L
Мік
R
Determine the force exerted by the track on the block at point A.
F = number (rtol=0.05, atol=1e-08)
N
Part 2
A
The bottom of the track consists of a horizontal section (L = 10 m) with friction.
Determine the coefficient of kinetic friction between the block and the bottom
portion of the track if the block just makes it to point B before coming to rest.
μk =
number (rtol=0.05, atol=1e-08)
Shown below are two carts connected by a cord that passes over a small frictionless pulley. Each cart rolls freely with negligible
friction.
1. Calculate the magnitude of the acceleration of each cart
2. Calculate the magnitude of the tension in the cord.
10 kg
37°
ΟΠΟ
53°
15 kg
An object with a mass of 10.0 kg is placed on a rough horizontal table. The object is then connected to a cable that passes over a pulley and is fastened to
a hanging object with a mass of 5.00 kg.
1. What is the minimum force of friction required to keep the objects in equilibrium?
2. What is the coefficient of static friction between m₁ and the table?
Must show complete and concise work.
m₁
m2
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