Fig. ass Mi slides on a 45° inclined plane of height H as sh connected by a flexible cord of negligible mass over a small pulley (neglect its mass) to an equal-mass M2 hanging vertically as shown. The length of the cord is such that the masses can be held at rest both at height H/2. The dimensions of the masses and the pulley are negligible compared to H. At time t = 0 the two masses are released. The acceleration of M2 downward is 1.43 m/s^2 and Box 2 will strike the ground at t = 0.84/H. A) Derive an expression for the tension in the pulley with the two masses and derive an expression for the tension if M1 is not attached to the rope anymore. My 45° M₂ H/2

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P.1) The uniform cylinder of mass m = 100 kg and radius r = 0.5 m is released from rest on a sloped surface. The coefficient of friction between the cylinder and the sloped surface is µ. a. Determine whether the cylinder slips on the surface if µ = 0.1. b. Find the cylinder's angular and linear acceleration if u = 0.3. 30°

The radius of the flywheel given in the figure is 600 mm. Its mass is 144The radius of rotation (inertia) of the flywheel, which is kg, is 450 mm. to a mass of 18 kgObject A is suspended from a rope wrapped around the flywheel. system is stagnantbeing released in the (still) state. Object A 1.8 meters downFind the acceleration and velocity of the block when it moves straight.

Ex.6.2 (Dynamics by Meriam and Kraige) The system is released from rest with the cable taut. For the friction coefficients, µs = 0.25 and Hk = 0.20, calculate the acceleration of each block and the tension T in the cable. Neglect the small mass and friction of the pulleys. Try it!!! 60 kg 20 kg 30° B

1) A loaded wheelbarrow is pulled to the left with an acceleration a = 2 m / s? by a force P. In this motion, the wheelbarrow does not rotate and the force of friction as well as the effect of the rotation of the wheel may be neglected. The combined mass of the wheelbarrow and its load is 250 kg with center of mass at G. For this instant, determine the horizontal and vertical components of the force P and the normal reaction at B. a P G beal 60 cm 50 cm 1 m 20 cm

A physics student of mass 43.0 kg is standing at the edge of theflat roof of a building, 12.0 m above the sidewalk. An unfriendly dog isrunning across the roof toward her. Next to her is a large wheel mountedon a horizontal axle at its center. The wheel, used to lift objects from theground to the roof, has a light crank attached to it and a light rope wrappedaround it; the free end of the rope hangs over the edge of the roof. Thestudent grabs the end of the rope and steps off the roof. If the wheel hasradius 0.300 m and a moment of inertia of 9.60 kg . m2 for rotation aboutthe axle, how long does it take her to reach the sidewalk, and how fast willshe be moving just before she lands? Ignore friction in the axle.

Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. A loading car is at rest on a track forming an angle of 25° with the vertical when a force is applied to the cable attached at C. The gross weight of the car and its load is 5495 lb WG, and it acts at point G. Know the tension in the cable connected at C is 5000 lb Tc. Neglect friction between the car and the track. 24 in. 25 25.in. T 25 in. C B 30 in. Determine the distance the car moves in 20 s. (You must provide an answer before moving on to the next part.) The distance the car moves is I

Cart 1 Mass - M Cart 2 Mass = 3.5M Force Sensor The spring cart (cart 1) is released and collided inelastically with cart 2 and the two carts move off together. The spring does not add any mass to cart 1. Assume negligible friction in the cart wheels.

4. A loading car is at rest on a track forming an angle of 25° with the vertical when a force is applied to the cable attached at C. The gross weight of the car and its load is 5465 lb WG, and it acts at point G. Know the tension in the cable connected at C is 5000 Ib Tc. Neglect friction between the car and the track. Determine how far the car travels in 15 seconds. Model this as a particle at G. 24 in. B 25 in. 30 in. 25 in.