5.00 kg 36.9
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A block with mass m = 5.00 kg slides down a surface inclined
36.9° to the horizontal (Fig.). The coefficient of kinetic
friction is 0.25. A string attached to the
block is wrapped around a flywheel
on a fixed axis at O. The flywheel has
mass 25.0 kg and moment of inertia
0.500 kg # m2 with respect to the axis of
rotation. The string pulls without slipping
at a perpendicular distance of 0.200 m
from that axis. (a) What is the acceleration
of the block down the plane? (b) What
is the tension in the string?
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- A block of mass m1 = 1.55 kg and a block of mass m, = 6.25 kg are connected by a massless string over a pulley in the shape of a solid disk having radius R = 0.250 m and mass M = 10.0 kg. The fixed, wedge-shaped ramp makes an angle of 0 = 30.0° as shown in the figure. The coefficient of kinetic friction is 0.360 for both blocks. М, R m1 (a) Draw force diagrams of both blocks and of the pulley. Choose FileNo file chosen This answer has not been graded yet. (b) Determine. the acceleration of the two blocks. (Enter the magnitude of the acceleration.) Enter a number. uation describing the angular acceleration of the pulley and the acceleration of the blocks? m/s2 (c) Determine the tensions in the string on both sides of the pulley. left of the pulley N right of the pulley NIn the figure, what magnitude of force F applied horizontally at the axle of the wheel is necessary to raise the wheel over an obstacle of height h = 0.267 m? The wheel's radius is r = 0.673 m and its mass is m = 1.75 kg. DFA block with a mass of 5.00 kg slides down a surface inclined 36.9° to the horizontal Problem 2 as shown in the figure. The coefficient of kinetic friction between the block and the incline is 0.25. A string attached to the block is wrapped around a pulley on a fixed axis at O. The pulley has a mass of 25.0 kg and a moment of inertia 0.500 kg.m². The string pulls without slipping at a perpendicular distance of 0.200 m from the pulley's axis down the incline.. (a) What is the acceleration of the block down the plane? (b) What is the tension in the string? 5.00 kg 36.9°
- Calculate the rotational inertia of a meter stick, with mass 0.67 kg, about an axis perpendicular to the stick and located at the 39 cm mark. (Treat the stick as a thin rod.) X kg · m2The frame is made from uniform rod which has a mass p per unit length. A smooth recessed slot constrains the small rollers at A and B to travel horizontally. Force P is applied to the frame through a cable attached to an adjustable collar C. Determine the magnitudes and directions of the normal forces which act on the rollers if (a) h = 0.24L, (b) h = 0.50L, and (c) h = 0.91L. The forces will be positive if up, negative if down. Evaluate your results for p = 1.8 kg /m, L = 575 mm, and P = 48 N. What is the acceleration of the frame in each case? (a) Answers: (b) L (c) A h = 0.24L: h = 0.50L: h = 0.91L: L A = A A = B i i i P B N₁ B N, B N, i i N₁ª N,9 N₁9 i i m/s m/s m/sA block with mass m = 5.00 kg slides down a surface inclined 36.9° to the horizontal (Figure 1). The coefficient of kinetic friction is 0.27. A string attached to the block is wrapped around a flywheel on a fixed axis at O. The flywheel has mass 11.1 kg and moment of inertia 0.500 kg - m? with respect to the axis of rotation. The string pulls without slipping at a perpendicular distance of 0.300 m from that axis. Part A What is the acceleration of the block down the plane? Express your answer in meters per second squared. ? a = 1.45 m/s? Figure 1 of 1 Part B What is the tension in the string? Express your answer in newtons. 5.00 kg ? T = 11.6 N 36.9 國
- A block of mass 2 kg slides down an inclined plane at an angle of 45° with a massless tether attached to a pulley with mass 3 kg and radius 0.7 m at the top of the incline (see the following figure). The pulley can be approximated as a disk. The coefficient of kinetic friction on the plane is 0.2. What is the acceleration of the block (in m/s²)? (Enter the magnitude.) 3.59 45° x m/s²Find the net torque on the wheel in the figure below about the axle through O, taking a = 13.0 cm and b = 31.0 cm. (Assume that the positive direction is counterclockwise.) N·m 12.0 N 30.0% 10.0 N 9.00 NA turntable 46.0 cm in diameter diameter starts from rest, and rotates at 68.0 rpm at its first complete revoļution with constant angular acceleration. If it maintains the same acceleration, a) what is the rotational speed at time 34.0 seconds? b) what is the tangential speed of a point 10 cm from the edge of the turntable at time 34.0 seconds? Enter answer "O" in the answer box. Submit in the corresponding folder (or email) your solution by 3:50 pm, include a sketch/drawing of the rotating wheel, and a step- by-step solution.
- M, R m1 m2 Refer to the figure above for this problem. A wooden bldck of mass m, = 3.2 kg and a hollow block of mass m2 = 8.7 kg are connected by a rope which runs over a friction-less pulley. Assume that the pulley is a solid iron disc with a radius R = 0.3 m and mass M = 5.1 kg. The ramp is wedge- shaped and makes an angle of 0=36°. The coefficient of kinetic friction is 0.29 for both blocks and the wedgeshaped incline. (a) Draw force diagrams of both blocks and of the pulley. (b) Determine the acceleration of the two blocks. (c) Determine the tensions in the string on both sides of the pulley.An object (with mass m = 6.20 kg) is attached to the free end of a massless string wrapped around a reel of radius R = 0.550 m and mass M = 4.00 kg. The reel is a solid disk, free to rotate in a vertical plane about the horizontal axis passing through its center, as shown in the figure. The suspended object is released from rest 3.50 m above the floor. Calculate the magnitude of the acceleration (in m/s2) of the object. Round your answer to 2 decimal places.Note: I=1/2 MR^2