Engineering Mechanics (Basic Level)
A uniform sphere of weight 50 N is lying between two inclined planes at an angle of 45°. The reaction experienced by sphere due to vertical wall is
50N
25N
70.7N
90.4N
A block weighing 200 N is lying on a rough surface. An inclined force of 100 N acts on the block as shown in the figure. If coefficient of friction between block and surface is 0.3, what is force of friction on block by surface when block is under the action of force ?
45N
50N
75N
None Of These
A block is of width 60 mm and weight W. A force P is applied to block at height h. Coefficient of friction between block and floor is 0.3. Upto what height h force can be applied so that the block slips without tipping?
105 mm
110 mm
95 mm
120 mm
A wheel of radius r rolls without slipping on a horizontal surface shown below. If the velocity of point P is 10 m/s in the horizontal direction, the velocity of point Q (in m/s) is
10
20
0
None Of These
The rotating mass of a rim type flywheel is distributed on another rim type flywheel whose mean radius is three fourth of the radius of the former. The ratio of the energy stored in the later to the first one would be
2.5
1.5
0.5
-2.5
A turbine generator unit is shut off when it was rotating at 3000 rpm. The turbine unit came to rest in 10 minutes uniformly. If mass of rotor is 2000 kg and radius of gyration is 0.25 m, what is average frictional torque?
130.9 Nm
92.56 Nm
120.9 Nm
65.44 Nm
An elevator weighing 200 kg is moving upward with a uniform velocity of 4 m/s. Power is put off and friction opposing motion is 100 N. In how much distance the elevator will stop ?
0.32 m
0.77 m
0.86 m
1.21 m
Determine the force developed in the member BC of the system shown in figure. When a load P = 2000 N acts. Neglect selfweight of the members and assume
727.9 N
700 N
750.6 N
629.6 N
A rotor speed decreases under uniform retardation from 1800 rpm to rest in 40 seconds. The revolutions made before the disc comes to rest is
600
1200
300
2400
A bar AB of length L is hinged at end A. It carries a block of mass 30 kg at C as shown. The load W at end of rope passing over a smooth pulley so as to maintain equilibrium is (N)
98.1
95
105.3
105.2
A circular sol id disc of uniform thickness of 20 mm, radius 200 mm and mass 20 kg, is used as a flywheel . If it rotates at speed of 500 rpm, then the kinetic energy of the flywheel is
547.68 J
648.31 J
732.81 J
932.81 J
Two cars are moving in the same direction with a speed of 50 km/hr and a distance of 12 km separates them. If a car coming from the opposite direction meets these two cars at another interval of 5 minutes, its speed would be in kmph
44
64
84
94
If the rotating mass of a rim type flywheel is distributed on another rim type flywheel whose mean radius is half the mean radius of the former, then energy stored in the later at the same speed will be
Four times the first one
one and a half times the first one
same as the first one
One fourth of the first one
The person wants to cause the 200 N crate to start sliding toward the right as shown in figure. To achieve this, the horizontal component of the force exerted on the crate by the rope must equal 0.35 times the normal forces exerted on the crate by the floor. If the person pulls on the rope in the direction shown in figure, then the forces exert on the rope is close to (N)
42.36 N
57.86 N
66.22 N
98.98 N
A simple pendulum took 36 seconds to complete 20 oscillations when the effective length was kept at 80 cm then the acceleration (in m/s 2 ) due to gravity from these date will be
9.75
19.5
4.8
16.2
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