A massless cord passing over a frictionless pulley of mass 15.0 kg and radius 55 cm connects two blocks as shown in the figure below. The 53.1° inclined plane is frictionless. The coefficient of kinetic friction between the 110 kg block and the 30.0° inclined plane is 0.25. What is the magnitude of the acceleration of both blocks when the system is released from rest? mı = 110 kg m2 = 35 kg 30.0° 53.1°
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- The two blocks are connected by a massless rope that passes through a pulley. Mass of first block is m1 = 1 kg, mass of the second block is m2= 5 kg. Mass of the pulley is M = 2 kg. Radius of the pulley is R= 10 cm. First block is placed on the 30 incline and the second block is hanging above the table at the height of 40 cm. Then, the system is released and the first block starts sliding up the incline and the second block starts falling toward the table. a) forces that apply to the pulley. b) pulley. Consider the pulley to be a disc and use disc's moment of inertia(/ = MR?/2) c) acceleration of the blocks. Draw the FBD for both blocks and draw separately the Write down equations of motion for the blocks and Using the equations from part (b) to calculate the Finally, find the velocity that the second block will d) acquire just before hitting the table using energy. m1 m2please answer letter d and eA block weights 150g and it’s attached to a 0.6m long string. The block starts from rest and begins to spin in a circle accelerating at a constant rate of 0.25 rad/s^2 on a horizontal surfaces if the string has a max tension of 5N. How long does it take for the string to break? How many revolutions did the block complete? Please Use the equations provided.
- A curve in a stretch of highway has radius 512 m. The road is unbanked. The coefficient of static friction between the tires and road is 0.700. When the car enters the curve at a speed greater than the maximum safe speed (speed at which the car won’t skid), which of the following statements are correct?The Atwood machine consists of two masses hanging from the ends of a rope that passes over a pulley. The pulley can be approximated by a uniform disk with mass m, = 6.13 kg and 17.9 kg radius r, = 0.150 m. The hanging masses are m and mg = 12.9 kg. Calculate the magnitude of the masses' acceleration a and the tension in the left and right ends of the rope, Ti and TR, respectively. m/s? a = N Ti = m. MR TRTwo masses are connected by an ideal rope over a pulley. The rope has no mass or stretch. The pulley is frictionless but has mass Mp and radius R. M, is on an approximately frictionless slope with angle 0 =19°. %3D The masses are all equal, M1 = M2 Mp. %3D The pulley can be approximated by a hoop with I = Mp R2 %3D If the masses are released from rest (not moving), what is their speed after M2 has fallen a distance h = 2.4 m?
- PRINTER VERSION BACK NEXT Chapter 10, Problem 051 GO In the figure, block 1 has mass m, - 488 g, block 2 has mass m, = 551 g, and the pulley is on a frictionless horizontal axle and has radius R = 4.78 cm. When released from rest, block 2 falls 71 9 cm in 5 27 s without the cord slipping on the pulley. (a) What is the magnitude of the acceleration of the blocks? What are (b) tension T, (the tension force on the block 2) and (c) tension T, (the tension force on the block 1)? (d) What is the magnitude of the pulley's angular acceleration? (e) What is its rotational inertia? Caution: Try to avoid rounding off answers along the way to the solution. Use g = 9.81 m/s. m2 (a) Number Units (b) Number Units (c) Number Units (d) Number Units (e) Number UnitsIn the figure, block 1 has mass m₁ - 470 g, block 2 has mass m₂ - 501 g, and the pulley is on a frictionless horizontal axle and has radius R-5.00 cm. When released from rest, block 2 falls 72.0 cm in 3.30 s without the cord slipping on the pulley. (a) What is the magnitude of the acceleration of the blocks? What are (b) tension T₂ (the tension force on the block 2) and (c) tension T₁ (the tension force on the block 1)? (d) What is the magnitude of the pulley's angular acceleration? (e) What is its rotational inertia? Caution: Try to avoid rounding off answers along the way to the solution. Use g -9.81 m/s². (a) Number (b) Number i (c) Number (d) Number i (e) Number i Units Units Units Units Units my 1112 <In the figure, block 1 has mass m1 = 440 g, block 2 has mass m2 = 520 g, and the pulley is on a frictionless horizontal axle and has radius R = 4.9 cm. When released from rest, block 2 falls 72 cm in 5.4 s without the cord slipping on the pulley. (a) What is the magnitude of the acceleration of the blocks? What are (b) tension T2 (the tension force on the block 2) and (c) tension T1 (the tension force on the block 1)? (d) What is the magnitude of the pulley’s angular acceleration? (e) What is its rotational inertia? Caution: Try to avoid rounding off answers along the way to the solution. Use g = 9.81 m/s2.
- In the figure, block 1 has mass m1 = 490 g, block 2 has mass m2 = 570 g, and the pulley is on a frictionless horizontal axle and has radius R = 5.2 cm. When released from rest, block 2 falls 78 cm in 4.8 s without the cord slipping on the pulley. (a) What is the magnitude of the acceleration of the blocks? What are (b) tension T2 (the tension force on the block 2) and (c) tension T1 (the tension force on the block 1)? (d) What is the magnitude of the pulley's angular acceleration? (e) What is its rotational inertia? Caution: Try to avoid rounding off answers along the way to the solution. Use g = 9.81 m/s2. m, m2 (a) Number i Units (b) Number i Units (c) Number Units i (d) Number i Units (e) Number i Units > >A puck of mass m = 1.10 kg slides in a circle of radius r = 19.0 cm on a frictionless table while attached to a hanging cylinder of mass M = 4.10 kg by a cord through a hole in the table. What speed keeps the cylinder at rest?a. What is the magnitude of acceleration of the block? b. What is the magnitude of the tension force from the block on the cylinder?