Questions (1250)

# Question Topic Actions
401
A wheel starts from rest and has a constant angular acceleration of 2 rad/s². W…
Rotational Motion View
402
The linear (tangential) speed v of a point on a rotating rigid object is relate…
Rotational Motion View
403
Two points on a rotating disc are at distances r₁ and r₂ from the center, with …
Rotational Motion View
404
The centripetal acceleration a_c of a point on a rotating object is always dire…
Rotational Motion View
405
Which formula correctly gives the centripetal acceleration a_c of a point on a …
Rotational Motion View
406
If a rotating object has both angular acceleration α and angular speed ω, the m…
Rotational Motion View
407
The rotational kinetic energy K_R of an object with moment of inertia I rotatin…
Rotational Motion View
408
The moment of inertia of a point mass m located at a perpendicular distance r f…
Rotational Motion View
409
For a system of particles, the total moment of inertia I about an axis is calcu…
Rotational Motion View
410
A system consists of two small masses: a 2 kg mass at a distance of 1 m from an…
Rotational Motion View
411
According to the parallel-axis theorem, the moment of inertia I of a body about…
Rotational Motion View
412
The torque τ produced by a force F acting at a point located by a position vect…
Rotational Motion View
413
In the general case, when a force F acts at an angle θ relative to the position…
Rotational Motion View
414
What is the torque due to a force of 10 N applied perpendicularly to the end of…
Rotational Motion View
415
Newton's second law for rotation states that the net torque on a rigid object i…
Rotational Motion View
416
If the net torque acting on a rotating object is zero, which quantity must rema…
Rotational Motion View
417
A figure skater pulls her arms in during a spin, decreasing her moment of inert…
Rotational Motion View
418
The angular momentum L of a point particle about an axis is defined as the cros…
Rotational Motion View
419
For a rigid object rotating about a fixed axis, the angular momentum L can be e…
Rotational Motion View
420
The condition for a rigid body to be in static equilibrium is that
Rotational Motion View
421
In a problem involving a uniform ladder resting against a smooth wall, the forc…
Rotational Motion View
422
A centripetal force F_c is required to keep an object of mass m moving in a cir…
Rotational Motion View
423
The center of gravity of a uniform, symmetric object is located at its
Rotational Motion View
424
An object is in stable equilibrium if a small displacement from its equilibrium…
Rotational Motion View
425
If a net torque of 8 N m acts on a wheel with a moment of inertia of 2 kg m², w…
Rotational Motion View
426
A torque is applied to a flywheel, causing it to rotate. The work done by the t…
Rotational Motion View
427
The power P delivered by a constant torque τ to an object rotating with angular…
Rotational Motion View
428
A uniform rod of length L and mass M rotates about an axis perpendicular to the…
Rotational Motion View
429
The tangential acceleration a_t of a point on a rotating object is related to i…
Rotational Motion View
430
The frequency f of a rotating object is related to its period T by the equation
Rotational Motion View
431
When a body is at rest on a surface and an external force F is applied, what is…
Friction View
432
What is the formula for the maximum value of static friction?
Friction View
433
What happens when the applied horizontal force F on a stationary object exceeds…
Friction View
434
Once a body begins to slide along a surface, the magnitude of the frictional fo…
Friction View
435
The coefficients of friction (μ_s and μ_k) depend primarily on which factor?
Friction View
436
The coefficients of friction are independent of which factor?
Friction View
437
In the two-block system described, a 6 kg block on a horizontal surface is conn…
Friction View
438
In the example with a 6 kg block on a horizontal surface and a 4 kg hanging blo…
Friction View
439
For the two-block system (6 kg on horizontal surface, μk=0.5, and a 4 kg hangin…
Friction View
440
For the two-block system (6 kg on horizontal surface, μk=0.5, and a 4 kg hangin…
Friction View
441
In the two-block system example, the equations 40 - T = 4a and T - μR = 6a are …
Friction View
442
For the two-block system (6 kg block, μk=0.5, g=10 m/s²), what is the calculate…
Friction View
443
For the two-block system (6 kg block, 4 kg hanging block, μk=0.5, a=1 m/s², g=1…
Friction View
444
A 200 N block rests on a frictionless inclined plane with a slope angle of 30°.…
Friction View
445
In the frictionless inclined plane problem with a 200 N block, a cord attached …
Friction View
446
For the system in equilibrium with a 200 N block on a 30° frictionless incline …
Friction View
447
In the equilibrium system with a 200 N block on a 30° frictionless incline and …
Friction View
448
A 120 N concrete block rests on a 30° inclined plane. Which force is most likel…
Friction View
449
A 120 N concrete block on a 30° incline has a coefficient of kinetic friction μ…
Friction View
450
For the 120 N block on a 30° incline with μk=0.5, what is the component of its …
Friction View
451
A 120 N concrete block rests on a 30° inclined plane with μk = 0.5. If a push P…
Friction View
452
A block is at rest on a horizontal surface. A small horizontal force is applied…
Friction View
453
Which of the following statements about static and kinetic friction is true, ba…
Friction View
454
If the normal force on an object sliding on a surface is doubled, what happens …
Friction View
455
A 10 kg block is on a horizontal surface. The coefficient of static friction is…
Friction View
456
For the same 10 kg block (μ_s=0.4, μ_k=0.3), once it is sliding, what is the ki…
Friction View
457
A block is pulled at a constant speed across a horizontal surface by a horizont…
Friction View
458
A block is sitting on an inclined plane. The angle of the incline is slowly inc…
Friction View
459
A particle moves along the x-axis from an initial position of 2.0 m to a final …
Kinematics in One Dimension View
460
Which of the following quantities is a scalar and represents the total path len…
Kinematics in One Dimension View
461
A cyclist travels 4 km east, then turns around and travels 3 km west. What is t…
Kinematics in One Dimension View
462
The average velocity of a particle is defined as the total displacement divided…
Kinematics in One Dimension View
463
On a position-time (x-t) graph for an object moving in one dimension, the slope…
Kinematics in One Dimension View
464
The instantaneous velocity of a particle at a specific moment in time is define…
Kinematics in One Dimension View
465
A car's position as a function of time is given by x(t) = 5t² + 2t, where x is …
Kinematics in One Dimension View
466
The instantaneous speed of a particle is defined as the
Kinematics in One Dimension View
467
Acceleration is fundamentally defined as the time rate of change of
Kinematics in One Dimension View
468
The area under an acceleration-time (a-t) graph over a given time interval repr…
Kinematics in One Dimension View
469
A particle starts from rest and has an acceleration given by a(t) = 4t m/s². Wh…
Kinematics in One Dimension View
470
Which of the following statements is true for an object undergoing constant acc…
Kinematics in One Dimension View
471
The equations of motion (e.g., v = v₀ + at, x = x₀ + v₀t + ½at²) are valid ONLY…
Kinematics in One Dimension View
472
In the constant acceleration equation v² = v₀² + 2a(x - x₀), the term (x - x₀) …
Kinematics in One Dimension View
473
An object is thrown vertically upward. At its maximum height, which of the foll…
Kinematics in One Dimension View
474
If an object is thrown vertically upwards, the acceleration due to gravity (g) …
Kinematics in One Dimension View
475
A ball is thrown vertically upward with an initial speed of 20 m/s. Assuming g …
Kinematics in One Dimension View
476
A stone is dropped from rest from the edge of a cliff. What is its speed after …
Kinematics in One Dimension View
477
A ball is thrown vertically upward and returns to its starting point 8 seconds …
Kinematics in One Dimension View
478
On a velocity-time (v-t) graph for an object moving with constant acceleration,…
Kinematics in One Dimension View
479
The displacement of an object during a specific time interval can be determined…
Kinematics in One Dimension View
480
The slope of a velocity-time (v-t) graph at any instant represents the object's
Kinematics in One Dimension View
481
Which type of motion is indicated by a position-time (x-t) graph that is a stra…
Kinematics in One Dimension View
482
An object is moving along a straight line with constant acceleration. The slope…
Kinematics in One Dimension View
483
For an object undergoing constant acceleration, the average velocity for a trip…
Kinematics in One Dimension View
484
The graph below shows the velocity-time graph for a train. What does the area u…
Kinematics in One Dimension View
485
A body is in equilibrium when it is either at rest or in uniform motion. Accord…
Mechanical Equilibrium and Rotational Dynamics View
486
If all forces acting on a body intersect at a single point and their vector sum…
Mechanical Equilibrium and Rotational Dynamics View
487
Which of the following statements best describes the condition for a body to be…
Mechanical Equilibrium and Rotational Dynamics View
488
What is the centre of gravity of a body?
Mechanical Equilibrium and Rotational Dynamics View
489
When a body acted upon by gravity is suspended from a single point, where is it…
Mechanical Equilibrium and Rotational Dynamics View
490
A force of 150 N is applied perpendicularly to the end of a spanner, 0.3 m from…
Mechanical Equilibrium and Rotational Dynamics View
491
What is the torque about the centre of a drum with a diameter of 40 cm when a f…
Mechanical Equilibrium and Rotational Dynamics View
492
Two equal and opposite forces whose lines of action do not coincide are said to…
Mechanical Equilibrium and Rotational Dynamics View
493
The turning effect or moment produced by a couple is calculated as which of the…
Mechanical Equilibrium and Rotational Dynamics View
494
A couple consists of two forces of 75 N each, acting on a wheel. The forces are…
Mechanical Equilibrium and Rotational Dynamics View
495
The principle of moments states that for a body in rotational equilibrium, whic…
Mechanical Equilibrium and Rotational Dynamics View
496
For a body to be in absolute equilibrium (both translational and rotational), w…
Mechanical Equilibrium and Rotational Dynamics View
497
A particle of mass m moving in a circle of radius R has a linear speed ωR. What…
Mechanical Equilibrium and Rotational Dynamics View
498
What is the definition of the moment of inertia (I) for a rigid body consisting…
Mechanical Equilibrium and Rotational Dynamics View
499
The rotational kinetic energy of a rigid body is given by which of the followin…
Mechanical Equilibrium and Rotational Dynamics View
500
What is the moment of inertia of a solid cylinder of mass m and radius R about …
Mechanical Equilibrium and Rotational Dynamics View