Find the tension of the rope as a function of theta, assuming that system starts from...

Question

Question

Find the tension of the rope as a function of theta, assuming that system starts from theta_0.

Answer 1

Answer #1

SOLUTION:

Ł O . mgsinó mgcose mg

The weight of the ball (mg) can be resolved into 2 perpendicular components as shown in the above figure.

From figure we have, Tension on the rope is given by:

T = mg cos

Where m is mass of the ball and g is acceleration due to gravity.

Therefore, Tension of the rope as a function of angle is given by:

Answer 2

Similar Homework Help Questions

Use MatLab 2014 version please Find the value theta (t) - theta_a/theta - theta_a = e^-...

Use MatLab 2014 version please Find the value theta (t) - theta_a/theta - theta_a = e^- h A t/mC where theta (t) = 15.5 theta_a = 3.8 theta_0 = 22.9 A = 0.0177 t = 15 m = 0.4423 C = 901 Don't simplify by hard.//Use MatLab
find acceleration and tension of the pulley system find the accelration and tension TBD m. 3.3...

find acceleration and tension of the pulley system find the accelration and tension TBD m. 3.3 kg GIVEN Coefficient of friction 0.2 FBD Angle of inclination (theta) 71 degrees a=? T=? 4 kg
A block of weight 45.3 N is hanging from a rope. The tension from the rope...

A block of weight 45.3 N is hanging from a rope. The tension from the rope is pulling upward on the block. The block is accelerating downward at a rate of 1.46 m/s2. What is the magnitude of the tension in the rope?

Find tension on T_1 and T_2 using sigma F_x = T_1 cos(theta) - T_2 cos (theta)...

Find tension on T_1 and T_2 using sigma F_x = T_1 cos(theta) - T_2 cos (theta) + c = 0 Ans sigma F_y = T_1 sin(theta) + T_2 sin(theta) - mg = 0
An 89 kg box hangs from a rope. A. What is the tension in the rope...

An 89 kg box hangs from a rope. A. What is the tension in the rope if the box is at rest? Express your answer in newtons. B. What is the tension in the rope if the box has vy = 8.0 m/s and is speeding up at 8.0 m/s2 ? Express your answer in newtons.
A flag of mass 2.9 kg is supported by a single rope as shown in the...

A flag of mass 2.9 kg is supported by a single rope as shown in the figure below. A strong horizontal wind exerts a force of 15 N on the flag. Find the tension in the rope and the angle theta the rope makes with the horizontal. Tension = N theta = degree

A 205 N sign is supported by two ropes. One rope pulls up and to the...

A 205 N sign is supported by two ropes. One rope pulls up and to the right ?1=25.5∘ above the horizontal with a tension ?1 , and the other rope pulls up and to the left ?2=47.5∘ above the horizontal with a tension ?2 , as shown in the figure. Find the tensions ?1 and ?2 . Exit sign suspended by two ropes. Rope 1 goes up and to the right, makes an angle theta subscript 1 with the horizontal,...
Find the tension of a rope given this prompt: You watch your friend walk across a...

Find the tension of a rope given this prompt: You watch your friend walk across a 15m wide river on a rope stretched across it If you shake one end of the rope, it takes 1.2s for the wave to reach the opposite end. Find the tension in the rope if a 2m length has a mass of 0.8kg.
10 in 20 in 24 in m2 6. Find the tension in rope AC if the...

10 in 20 in 24 in m2 6. Find the tension in rope AC if the mass of the iron block is 85kg a. 283N b. 373N c. 613N d. 850N 7. Find the tension in rope BC if the mass of the iron block is 85kg a. 283N b. 373N c. 613N d. 850N

1. A 20.0 kg box is pulled up an inclined ramp by a rope with tension...

1. A 20.0 kg box is pulled up an inclined ramp by a rope with tension of 150.0 N. The indline makes an angle of 30.0 above the horizontal. The rope is parallel to the ramp. There isakinetic fiction force of 30.0 N. a. Draw a free body diagram of the box, listing all forces acting on the box. b. Find the work done by each force on the box. c. Find the net work on the box. d. If...