5. A block of mass m hangs from a massless rope. The rope passes over a massless pulley, which is fixed to the top of a ramp inclined at angle 0. The other end of the rope is attached to a block of mass M which slides along the ramp. Find the acceleration of the system and the tension in the rope if the coefficient of kinetic friction is µ. (For definiteness, assume that mass M moves down the ramp.) M u - m Once you have an answer, consider the special case where 0=90°. Can you see why this is the same expression as the solution to the Atwood's machine problem?
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- An Atwood machine consists of two masses hanging from the ends of a rope that passes over a pulley. Assume that the rope and pulley are massless and that there is no friction in the pulley. If the masses have the values ?1=19.5 kg and ?2=12.5 kg, find the magnitude of their acceleration ? and the tension ? in the rope. Use ?=9.81 m/s2.Two objects are connected by a light string that passes over a frictionless pulley as shown in the figure below. Assume the incline is frictionless and take m, = 2.00 kg, m, = 7.30 kg, and e = 52.0°. Use g=9.8 m/s2. (b) Find the magnitude of the accelerations of the objects. m/s2 (c) Find the tension in the string. N (d) Find the speed of each object 1.75 s after being released from rest. m/sThe 17-Mg truck hauls the 33-Mg trailer. If the unit starts from rest on a level road with a tractive force of 25 kN between the driving wheels of the truck and the road, compute the tension T in the horizontal drawbar and the acceleration a of the rig. 33 Mg 17 Mg O O O O O Answers: T= i a= i KN m/s² O
- A person on a sled starts descending from the highest point of a snowy slope with a 30º inclination and 150 m in length. The combined mass of the person and the sled is 90 kg. At the end of the slope, they continue moving on a horizontal track until they stop. The coefficient of friction between the sled and the snow is \( \mu = 0.18 \) in both cases. 1. Draw the forces acting on the sled in each section. 2. Calculate the mechanical energy dissipated due to friction on the inclined section. 3. With what speed does it reach the end of the slope? 4. What distance does the sled travel on the horizontal plane before stopping?Two blocks connected by a rope of negligible mass are being dragged by a force at a 21° angle above horizontal (see figure below). Suppose F = 117.0 N, m, = 10.0 kg, m, = 26.0 kg, and the coefficient of kinetic friction between each block and the surface is 0.136. Use g=9.8 m/s?. T m2 (b) Determine the acceleration of the system. m/s2 (c) Determine the tension T in the rope. NSphere A is attached to the ceiling of an elevator by a string. A second sphere is attached to the first one by a second string. Both strings are of negligible mass. Here m₁ = m₂ = m = 3.67 kg. = = T₁ m₁ (a) The elevator starts from rest and accelerates downward with a = 1.35 m/s². What are the tensions in the two strings in newtons? T₁ N N T2 = T₂ m₂ (b) If the elevator moves upward instead with the same acceleration what will be the tension in the two strings in newtons? Т1 T2 N N (c) The maximum tension the two strings can withstand is 89.8 N. What maximum upward acceleration (in m/s2) can the elevator have without having one of the strings break? m/s²
- 10.0 kg block on a table is connected by a string to a 63 kg mass, which is hanging over the edge of the table. Assuming that frictional forces may be neglected, what is the magnitude of acceleration of the 10.0 kg block when the other block is released? (See the figure.) |10.0 kg ... Table 63 kg A 8.1 m/s^2 B 7.5 m/s^2 8.5 m/s^2 D 6.9 m/s^2Two masses m1=5 Kg and m2=12 Kg are connected with string and pulled with a force F=25 N that makes an angle of 53° with a smooth horizontal surface as shown in the figure. Find the tension in the string in a unit of Newton. F A. 6.258 B. 8.85 m2 m1 0 C. 2213 D. None E. 4.425A student attaches a rope to a 32 kg box, and drags it to the left with constant velocity of 1.08 m/s. The tension in the rope is 235 N at an angle of 48.7° to the ground. How much does the box weigh? 313.92 Find the x and y components of the applied (tension) force: Fx = 155.10 V o N %3D Fy = 176.5 N. %3D How much friction must be present? 155.10 V oN How much Normal force must be present? N. Submit Question
- Two blocks connected by a string are pulled across a rough horizontal surface by a force applied to one of the blocks, as shown. The acceleration of gravity is 9.8 m/s?. T 47° 4 kg 5 kg u = 0.63 If each block has an acceleration of 1.5 m/s² to the right, what is the magnitude of the applied force? Answer in units of N.1) The block on a 60° inclined plane weighs 100 pound and is held by the minimum possible force T as shown in the figure. The coefficient of both static and kinetic friction between the block and the inclined plane is 0.2, and the pulleys are frictionless. T а. Draw the free body diagram (FBD) of the block showing all forces and their directions acting on it. b. Compute all unknown forces including T shown in your FBD. Now if you want to move the block upward on the inclined plane С. by applying minimum possible force T then draw the FBD of the block showing all forces with directions acting on it. d. Now assume the pulleys are stuck (do not rotate any more) and the 60° rope slides over the stuck pulleys as the block moves up. the coefficient of both static and kinetic friction between the pulley surface and the rope is 0.1. Draw the FBD of the block showing all forces with directions acting on the block when the block is pulled upward by the minimum rope force T. е. For the stuck…