43 SSM ww The uniform solid Rotation block in Fig. 10-38 has mass 0.172 kg axis and edge lengths a = 3.5 cm, b= 8.4 cm, and c = 1.4 cm. Calculate its rota- tional inertia about an axis through one corner and perpendicular to the large faces.
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- The precession angular velocity of a gyroscope is 1.0 rad/s. If the mass of the rotating disk is 0.4 kg and its radius is 30 cm, as well as the distance from the center of mass to the pivot, what is the rotation rate in rev/s of the disk?A body moving in a circle with a constant seed is in rotational equilibrium.The uniform solid Rotation axis block in Fig. and edge lengths a = has mass 0.172 kg 3.5 cm, b = 8.4 cm, and c = 1.4 cm. Calculate its ro- tational inertia about an аxis through one corner and perpendicu- lar to the large faces.
- (a) A solid cylinder of mass 1.50 kg and radius 55.0 cm has a net torque of magnitude 0.170 N-m about the axis through its center. Determine the magnitude of its angular acceleration.A uniform wheelof mass 10.0 kg and radius0.400 m is mounted rigidlyon a massless axle throughits center . Theradius of the axle is 0.200m, and the rotational inertiaof the wheel–axle combinationabout its central axisis 0.600 kg m2.The wheel isinitially at rest at the top of a surface that is inclined at angle u 30.0 with the horizontal; the axle rests on the surface while thewheel extends into a groove in the surface without touching thesurface. Once released, the axle rolls down along the surfacesmoothly and without slipping.When the wheel–axle combinationhas moved down the surface by 2.00 m, what are (a) its rotationalkinetic energy and (b) its translational kinetic energy?n41 G0 In Fig. 10-37, two particles, each with mass m = 0.85 kg, are fas- tened to each other, and to a rotation axis at 0, by two thin rods, each with length d = 5.6 cm and mass M = 1.2 kg. The combination rotates M. Rotation axis around the rotation axis with the an- gular speed w = 0.30 rad/s. Measured about O, what are the combination's (a) rotational inertia and (b) kinetic energy? Figure 10-37 Problem 41.
- A cylinder of mass 10 kg and radius 15 cm is rolling perfectly on a plane of inclination 30o. The coefficient of static friction µs = 0.25.(a) How much is the force of friction acting on the cylinder ?A uniform slender rod of length L = 36 in. and weight W = 4 lb hangs freely from a hinge at A. If a force P of magnitude 1.5 lb is applied at B horizontally to the left (h = L), determine (a) the angular acceleration of the rod, (b) the components of the reaction at A.A 2kg disk has a radius of 18cm and rotates with an angulas acceleration of 12 rad/s^2 about an axis through its center and peroendicular to the plane of the disk. Determine the tangential force at the rim of the disk.
- whaT magnitude of (constant) force appliedhorizontally at the axle of thewheel is necessary to raise the wheelover a step obstacle of heighth = 3.00 cm? The wheel’s radius is r =6.00 cm, and its mass is m= 0.800 kg.Answer the question in full details, thank you very much, Answer on the correct significant figures: A uniform, solid 2.5 kg cylinder can rotate about an axis through its center at O. The forces applied are : F1 =45N, F2 =4.3N, F3 = 5.5N,and F4 = 4.8 N. Also, R1 = 10. cmand R3 = 4.2cm. Find the magnitude (in rad/s^2) and direction (+ denotes counterclockwise and — denotes clockwise) of theangular acceleration of the cylinder.In Fig. 10-34, two particles, each with mass m = 0.85 kg, are fastened to each other, and to a rotation axis at O, by two thin rods, each with length d= 5.6 cm and mass M = 1.2 kg. The combination rotates around the rotation axis with the angular speed = 0.30 rad/s. Measured about O, what are the combination's (a) rotational inertia and (b) kinetic energy? (1) M Rotation axis 2M m 4 10) The rigid body consists of three particles connected by massless rods. It is to be rotated about an axis perpendicular to its plane through point P. If M = 0.40 kg, a = 30 cm, and b = 50 cm, how much work is required to take the body from rest to an angular speed of 5.0 rad/s? M 4 m 2M