T Tolls without slipping on horizontal floor. For 23. For the system shown in figure, the disc of small angular m rolls without slipping on horizontal floor. For k 30 30 300 mm 100 mm ITIM Marut Tiw ari
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- A rigid body is made of three identical thin rods, each of mass m and length L= 0.6 m,attached together in the form of an H. The body is allowed to fall from the horizontalposition, rotating around one of the legs of the H.a) What is the rotational inertia of the H, in terms of m and L?b) What will be the angular speed of the H when it is oriented vertically?A uniform, solid cylinder of mass mc=7.42 kg and radius R=.26 m with Icm=1/2MR^2 is attached at its axle to a string. The string is wrapped around a small ideal pulley and is attached to a hanging block of mass mb=2.73 kg as indicated in the figure above. You release the objects from rest and the cylinder rolls without slipping. What is the magnitude of the acceleration of the block?B The shaft shown in the figure rotates at a constant speed of 1500/π rpm. Three masses rotating with the shaft are connected to the shaft as shown in the figure and cause instability. dynamic balance Determine the positions and values (kg.mm) of the masses that must be added to the DI and DII planes to ensure
- Consider the system of two blocks shown in (Figure 1). There is no friction between block A and the tabletop. The mass of block B is 4.80 kg. The pulley rotates about a frictionless axle, and the light rope doesn't slip on the pulley surface. The pulley has radius 0.200 m and moment of inertia 1.30 kg⋅m2. If the pulley is rotating with an angular speed of 8.00 rad/s after the block has descended 1.20 m, what is the mass of block A?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.The spool has a weight of 40 lblb and a radius of gyration kOkOk_O = 0.4 ftft . A cord is wrapped around its inner hub and the end subjected to a horizontal force PPP = 8 lblb . Assume the spool rolls without slipping. (Figure 1) Determine the spool's angular velocity, measured clockwise, in 5 ss starting from rest.
- The cranks and connecting rods of a four cylinder in-line engine running at 2000 rpm are 60mm and 240mm each respectively. The cylinders are spaced 150 mm apart. If the cylinders are numbered 1 to 4 in sequence from one end, the cranks appear at intervals of 90º in an end view in the order 1-4-2-3.The reciprocating mass for each cylinder is 15 kg. Determine (i) unbalanced primary and secondary forces, (ii) unbalanced primary and secondary couples with reference to central plane of the engineThe shaft, bearing two unbalanced masses, rotates at a constant speed of ω = 20 r/s. In the case of balancing in the DI and DII planes, find the balancing values (kg.mm) and their positions.A stepped cylinder has the dimensions R₁ = 0.30 m, R₂ = 0.65 m, and the radius of gyration, k, is 0.35 m. The mass of the stepped cylinder is 100 kg. Weights A and B are connected to the cylinder. If weight B has a mass of 80 kg, and weight A has a mass of 50 kg, how far does A move in 5 seconds? In which direction does it move? (Draw all FBDs)
- The wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of the wheel is 0.6m. The radius of gyration kG=0.4 m. The spring’s unstretched length is L0=1.0 m. The stiffness coefficient of the spring is k=2.0 N/m. The wheel is released from rest at the state 1 when the angle between the spring and the vertical direction is θ=30°. The wheel rolls without slipping and passes the position at the state 2 when the angle is θ=0°. The spring’s length at the state 2 is L2=4 m. Ignore the spring's mass. (1) If the datum for gravitational potential energy is set as shown below, the the gravitational potential energy of the wheel at the state 1 is___ N m(two decimal places) (2) If the datum for gravitional potential energ is set as shown below, the gravitational potential energy of the wheel at the state 2 is___ N m (two decimal places) (3) At state 1, how long the spring is stretched from its unstretched state (length difference):________(m) (two decimal places) (4) The…The wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of the wheel is 0.6m. The radius of gyration kG=0.4 m. The spring’s unstretched length is L0=1.0 m. The stiffness coefficient of the spring is k=2.0 N/m. The wheel is released from rest at the state 1 when the angle between the spring and the vertical direction is θ=30°. The wheel rolls without slipping and passes the position at the state 2 when the angle is θ=0°. The spring’s length at the state 2 is L2=4 m. Ignore the spring's mass. (5) At state 2, how long the spring is stretched from its unstretched state (length difference):________(m) (two decimal places) (6) The elastic potential energy of the spring at the state 2 is_______(N·m) (two decimal places) (7) The instantaneous center of zero velocity (IC) of the wheel at state 1 is (8) The mass moment of inertial of the wheel about its mass center G is IG =_________(kg·m2 ) (two decimal places)The wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of the wheel is 0.6m. The radius of gyration kG=0.4 m. The spring’s unstretched length is L0=1.0 m. The stiffness coefficient of the spring is k=2.0 N/m. The wheel is released from rest at the state 1 when the angle between the spring and the vertical direction is θ=30°. The wheel rolls without slipping and passes the position at the state 2 when the angle is θ=0°. The spring’s length at the state 2 is L2=4 m. (4) The elastic potential energy at the potion 1 is_______(N·m) (two decimal places)